Find the inverse function. f(x) = Vx - 1+4​

Find The Inverse Function. F(x) = Vx - 1+4

Answers

Answer 1

Answer:

f^-1(v)=v/x-3/x

Step-by-step explanation:

Answer 2

The inverse of the function f(x) = [tex]\sqrt[3]{x-1} + 4[/tex] Is f⁻¹(x) =  (x - 4)³ + 1.

What is a function?

Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.

Given:

f(x) = [tex]\sqrt[3]{x-1} + 4[/tex]

y =  [tex]\sqrt[3]{x-1} + 4[/tex]

Calculate the inverse of the function as shown below,

Replace x with y,

x = [tex]\sqrt[3]{y-1} + 4[/tex]

x - 4 = [tex]\sqrt[3]{y- 1}[/tex]

Cube both sides,

(x - 4)³ = y - 1

y = (x - 4)³ + 1

Thus, f⁻¹(x) =  (x - 4)³ + 1

To know more about function:

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Related Questions

Translate this phrase into an algebraic expression.
54 decreased by twice a number
Use the variable n to represent the unknown number.

Answers

Answer:

54 - (2n)

Step-by-step explanation:

First you take 54

Then its says to “decrease (said number: 54) by twice a number”

Decrease meaning “take away/remove”.

So you subtract 54 by 2 —> 54 - 2

But then, the important line comes along, “Use the variable n to represent the unknown number.

This mean that ”n”, multiplied by two is what the number: 54 is being deceased by.

So your answer is —> 54 - (2n)

Answer:

54 - 2n

Step-by-step explanation:

54 - 2n

Solve three questions

Answers

Answer:

7) r = -4

8) n = 1

9) x = 2

Step-by-step explanation:

Problem 7

Here, we have the equation 5 + 3r + 6 = -1. It looks like we need to solve for r, so let's go ahead and start by adding the constants 5 and 6.

5 + 3r + 6 = -1

3r + 11 = -1

Next, let's remove 11 from both sides to isolate r.

3r = -12

Finally, we can divide both sides by 3 to find the value of r.

r = -4

Problem 8

In this equation, it looks like we have to solve for n: -n + 2 + 3n = 4. So, let's start by combining like terms (-n and 3n).

-n + 3n + 2 = 4

2n + 2 = 4

Next, we can remove 2 from both sides to isolate r.

2n = 2

And finally, we can divide both sides by 2.

n = 1

Problem 5

This equation is a little trickier since we have a fraction. To remove this fraction, we can multiply both sides by 4.

(-6 + x)/4 = -1

4 × (-6 + x)/4 = 4 × -1

4/4 × (-6 + x)/1 = -4

-6 + x = -4

Finally, let's add 6 to both sides.

x = 2

Х
Note: Enter your answer and show all the steps that you use to solve this problem
in the space provided.
389
21
21
Drawing not to scale
What is the value of x?
Math symbols
Relations

Answers

Answer:

71°

Step-by-step explanation:

well you can tell based off the 2 sides that are 21 units each that this triangle is isosceles, that means the 2 base angles are the same.

so 2x°+38°=180°

so 2x°=142°

so x=71°

A 12 ounce Starbucks latte costs $3.36. What is the constant of proportionality that relates the cost in dollars, y, to the number of ounces, x, in a Starbucks latte?

Answers

Answer:

Y = X times 0.28

Step-by-step explanation:

1. You set it up as a proportionality

12/1 and 3.36/x

The x stands for how much money it takes to get 1 ounce

2. You do the old man line.

12 times x = 3.36 times 1

12x = 3.36

3. Now you divide 3.36 by 12

3.36 divided by 12

.28

4. You insert 0.28 into the problem

12 times 0.28 = 3.36

X = 0.28

So 1 ounce costs $0.28

So Y = X times 0.28

Answer:

Step-by-step explanation:

I need help on this question

Answers

x = -7

hope this helps!

help ASAP please again​

Answers

she got a 110 score

explanation: sorry ignore just had to do 20 characters

y-2=-7/5(x--2). Please include explanation when giving your answer. I'm really struggling with this. 20 points for whoever can answer this.

Answers

Answer:

[tex]x=\frac{10y-27}{5\left(-2+y\right)};\quad \:y\ne \:2[/tex]

Step-by-step explanation:

First, you have to simplify [tex]\frac{-7}{5(x-2)}[/tex] to become [tex]-\frac{-7}{5(x-2)}[/tex]

Next, you multiply both sides by [tex]5(x-2)[/tex] to make [tex]y\cdot \:5\left(x-2\right)-2\cdot \:5\left(x-2\right)=-\frac{7}{5\left(x-2\right)}\cdot \:5\left(x-2\right)[/tex]

After that, you need to simplify again to become [tex]y\cdot \:5\left(x-2\right)-10\left(x-2\right)=-7[/tex]

Now, expand [tex]5(x-2)-10(x-2)[/tex] to become [tex]5xy-10y-10x+20=-7[/tex]

Then, add 10y to both sides [tex]5xy-10y-10x+20+10y=-7+10y[/tex]

Next, you simplify to create [tex]5xy-10x+20=-7+10y[/tex]

After that, subtract 20 from both sides to make [tex]5xy-10x+20-20=-7+10y-20[/tex]

Now, simplify again to get [tex]5xy-10x=10y-27[/tex]

Next, factor [tex]5xy-10x[/tex] to get [tex]5x(y-2)[/tex]

Finally, divide both sides by [tex]5(y-2)[/tex] to get [tex]\frac{5x\left(y-2\right)}{5\left(y-2\right)}=\frac{10y}{5\left(y-2\right)}-\frac{27}{5\left(y-2\right)};\quad \:y\ne \:2[/tex]

If you did it right your final answer should be [tex]x=\frac{10y-27}{5\left(-2+y\right)};\quad \:y\ne \:2[/tex]

Hope this helps explain it!

plz I just wanna if my answers are true​

Answers

Answer:

3^2

3^4

3^6

Step-by-step explanation:

9 is actually 3^2, so you have the first one wrong.

The second one is correct, but the third one is not

Since 9 is 3^2, you can write that as (3^2)^3, which is 3^6.

High school Geometry

Answers

Answer:

the answer is b. sss is not possible

0.36 as a standard form

Answers

Answer:

0.36 x 10⁰

Step-by-step explanation:

Hep I’ll choose brainliest!!

Answers

Answer:

7

Step-by-step explanation:

3x - y = 1

2x + 2y = 14

x = 2

y =  5

x + y = 2 + 5 = 7

the answer is 7 because x = 2 and y = 5 , 3 x 2 = 6 -5=1 and 2 + 5 = 7

what is the slope of a line that passes through (2,11) and (5,29)?​

Answers

Answer:

6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(29-11)/(5-2)

m=18/3

m=6

Help me plz I would really appreciate it!

Answers

Given,

[tex]x = \frac{7}{9} \: \: \: y = \frac{5}{6} \\ \\ - 2y + x \\ = - 2( \frac{5}{6} ) + \frac{7}{9} \\ = - \frac{5}{3} + \frac{7}{9} \\ = \frac{ - 15 + 7}{9} \\ = \frac{ - 8}{9} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

#1 need help asap plzzzzzzzzzzzz

Answers

Answer:

[tex]n+4<12[/tex]

Step-by-step explanation:

A number would be represented as [tex]n[/tex]

"plus 4" is addition so that would be [tex]n+4[/tex]

fewer and less have the same meaning so that would be a less than sign [tex]<[/tex]

so that's how you get [tex]n+4<12[/tex]

what is the recriprocal of 8

Answers

the reciprocal of 8 is 1/8

Answer:

answer = 1/8

Step-by-step explanation:

answer = 1/8

On a field trip, there were 5 girls for every 8 boys how many girls attended the 130-student field trip?

Answers

Answer:

5 / 13 is the fraction of girls on the field trip

5/13 * 130 = 50 girls on the trip

Or 10 groups of 13 and each group of 13 had 5 girls giving a total of

5 * 10 = 50 girls

Order these numbers from least to greatest

Answers

Answer:

5.125, 5.14, ¹⁰³/₂₀, 5²/₉

Step-by-step explanation:

When you convert 103/20 to decimal you get 5.15 which is greater than 5.125 and 5.14.

When you convert 5²/₉ to fraction you get ⁴⁷/₉ which when converted to decimal is 5.222 which is greater than 5.125, 5.14 and 5.15.

I know the beginning is 5.125 and the last is 5 2/9

A man owns a store. One week he sells 100 loaves of bread. If he sells twice as many loaves the next week, how many loaves did he sell in total

Answers

Loaves sold on the first week=100
Loaves sold on the next=2(100)=200
Total number of loaves=200+100=300

Evaluate c√+b(a−3)^3, when a = 5, b = 2, and c = 49.
a.84
b.72
c.54
d.23

(will mark brainliest if correct)

Answers

i believe the answer is 196? i’m sorry if i’m incorrect

Answer:

D). 23

Step-by-step explanation:

I just did this question and it is 100% correct

Can you please help me

Answers

Answer:

V = 113.1

Step-by-step explanation:

V= 4/3 π r^3

V= 4/3 x 3.14 x 3^3

V= 4.19 x 27

V= 113.13

rounded to 113.1

Given that:Radius= 3 mTo find:The volume of the given sphere rounding to the nearest tenth.Solution:A sphere is a three dimensional solid with a curved surface area.SI unit of volume is cubic meter.

In this question all the required information is given so we'll simply have to solve.

[tex]\large\boxed{\bold{V= \ \frac{4}{3}\pi{r}^{3}}}[/tex]

Let's substitute the values according to the formula.

[tex]\bold{ V= \frac{4}{3}×\pi×{3}^{3}}[/tex]

[tex]\bold{=113.0973355 \ {m}^{3}}[/tex]

Now, we can round off to the nearest tenth.

If the value in hundredths place is greater than 5 you'll have to round up. If not you'll have to keep it as it is.

In this, the value in hundredths place is greater than 5 so we'll have to round up by adding 1 to the tenths place.

[tex]\large\boxed{\bold{V= 113.1 \ {m}^{3}}}[/tex]

Therefore, the volume of the given sphere is 113.1 cubic meters.

What is the following sum? 2 (RootIndex 3 StartRoot 16 x cubed y EndRoot) 4 (RootIndex 3 StartRoot 54 x Superscript 6 Baseline y Superscript 5 Baseline) 4 x (RootIndex 3 StartRoot 2 y EndRoot) 12 x squared y (RootIndex 3 StartRoot 2 y squared EndRoot) 8 x (RootIndex 3 StartRoot x y EndRoot) 12 x cubed y squared (RootIndex 3 StartRoot 6 y EndRoot) 16 x cubed y (RootIndex 3 StartRoot 2 y squared EndRoot) 48 x cubed y (RootIndex 3 StartRoot 2 y EndRoot).

Answers

Equivalent expressions are expressions that have the same value, and can be used interchangeably.

The result of the sum [tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex] is [tex]4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})[/tex]

The expression is given as:

[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex]

Rewrite the expression as:

[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (\sqrt[3]{2^4x^3y}) + 4 (\sqrt[3]{3^3 \times 2x^6y^5})[/tex]

Evaluate the roots

[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (2x\sqrt[3]{2y}) + 4 (3x^2y\sqrt[3]{2y^2})[/tex]

Open the brackets

[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 4x\sqrt[3]{2y} + 12x^2y\sqrt[3]{2y^2})[/tex]

The above expression cannot be further simplified.

Hence, the result of the sum [tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex] is [tex]4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

The sum of the expression is [tex]4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex].

We have to determine, the sum of the given expression.

According to the question,

Expression; [tex]2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})[/tex]

To determine the sum of the given expression following all the steps given below.

Rewrite the expression term in the form of their cubes,

[tex]\rm = 2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})\\\\ = 2(\sqrt[3]{2^4x^3y} +4(\sqrt[3]{3^3 \times 2 \times x^6y^5})\\\\= 2\times 2(\sqrt[3]{x^3y} +4\times 3(\sqrt[3]{ 2 \times x^6y^5})\\\\= 4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\\\=4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex]

Hence, The sum of the expression is [tex]4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex].

For more details refer to the link given below.

https://brainly.com/question/21798224

Dividing a polynomial

Answers

Answer:

the answer is

Step-by-step explanation:

-7u⁶y²-5u³+3uy²

that is the correct answer trust me

Trevor simplifies a linear equation

Answers

Answer:

C :3

Step-by-step explanation:

Whenever our simplification of a linear equation ends in a true statement, in this case 6=6, then our linear equation has infinitely many solutions.

Therefore, our answer is C.

even if we don’t know what x is we’ll still get an infinite amount of solutions

HOPE THIS HELPED :DDDD

How to find zeros of a quadratic function
example
f(x)=x^3+2x^2-25x-50

Answers

Answer:

Step-by-step explanation:

x=2,−5,5

if any doubt leave a comment

Give BRAINLIEST

solve similar triangles (advanced)

Answers

Answer:

x = 5

Step-by-step explanation:

Thales' theorem

[tex]\frac{9}{3} =\frac{15}{x}[/tex]

[tex]x=\frac{(15)(3)}{9} =\frac{45}{9} =5[/tex]

hope this helps

Walmart has white tees and joggers on sale. The white tees cost $4 each and the joggers cost $6
each. You have $36 to spend. The equation 4x + 6y = 36 can model this situation where x
represents the number of white tees and y represents the number of joggers purchased.
Graph the equation and identify (3) possible combinations of white tees and joggers that can be
bought.
cost = price x quantity
4 × X
Combination

Answers

y intercept = 6
Slope = -2/3

6 joggers and 0 tees
4 joggers and 3 tees
2 joggers and 6 tees
0 joggers and 9 tees

Please I need help now!!!

Answers

Answer:

An Ojibwe event in which women of all ages run, bike and canoe.

Step-by-step explanation:

Here is a balanced Hanger. Each triangle weighs 2.5 pounds, each circle weighs 3 pounds, and x represents the weight of each square. Select all equations that represent the hanger

Answers

Answer:

4x+2.5+2.5+3+3=2x+2.5+3+3+3 AND 4x+5+6=2x+2.5+6

Step-by-step explanation:

how to graph transformations of quadratic functions

Answers

Answer:

Shift "h" units to the right, "k" units up, and reflect over the x or y axis when needed.

Step-by-step explanation:

1) I want to talk about reflections first.

Reflections across the x-axis --> [tex]y = ax^2[/tex], a is the coefficient. if a is negative, then the equation should be reflected across the x-axis. This is known as a vertical reflection. Reflections across the y-axis --> [tex]y=a(bx)^2[/tex], b is the coefficient. If b is negative, then reflect the equation over the y-axis. There are cases where the reflection across the y-axis does not change anything. But, let's say its [tex]y=(x-3)^2[/tex]... the reflection across the y-axis is different (that equation is: [tex]y=(-x-3)^2[/tex] )

2) Rigid transformations

Horizontal transformations (to the left or right): [tex]y=a(bx-h)^2[/tex], factor out b from "bx-h" and whatever h equals is the units to the right. If h is a negative number, then you move to the left. Vertical transformations (up and down): [tex]y = a(bx-h)^2+k[/tex]... k is just the units up... if k is negative then we move it down.

Example (check image for visual)

We transform [tex]y = x^2[/tex] to [tex]y = -(-x-3)^2+3[/tex] , you move right 3, then reflect across the x-axis, then reflect across y-axis, then move 3 up.

--------------------------------------------------------------------------------------------------------------

Note: In the image, the red line is the original function, the blue one is the transformed function. See if you can follow along with the verbal instructions I gave above.

number 3 pls !!!!!!!!!!!!!!

Answers

Answer:

9

Step-by-step explanation:

ED: DC = 3:1

AB : BC = 3:1

AB: 3 = 9

Answer:

AB = 9

Step-by-step explanation:

Tale's theorem

[tex]\frac{12}{4} =\frac{AB}{3}[/tex]

[tex]AB=\frac{(12)(3)}{4} =\frac{36}{4} =9[/tex]

Hope this helps

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