Answers
Answer:
0
9
-2
-23
Step-by-step explanation:
a function f(x) defines a y-value for any valid x-value.
that's why it is often written as y = f(x).
the inverse function of an original function just turns the question upside down.
now we want to see for a given y-value of the original function, what was the original x-value to get this y.
therefore we try to transform the original equation that calculates y out of x into one that calculates x out of y.
so, in our example
f(x) = y = -4x - 3
4x + y = -3
4x = -y - 3
x = (-y - 3) / 4
in order to keep the usual terminology with functions also for inverse functions, which are in the end nothing else than functions again, we then name the input variable "x" again, and the result "y".
so, the inverse function is therefore as a function of x
y = (-x - 3) / 4
for x = -3, y = (--3 - 3) / 4 = (3-3) / 4 = 0
when we have y for the inverse function looking for its corresponding x value, then we are investing the inverse function and come back to the original function.
so, for y=-3 of the inverse function that means x=-3 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.
f(-3) = -4×-3 - 3 = 12 - 3 = 9 = x of the inverse function.
for x=5 of the inverse function, y = (-5-3)/4 = -8/4 = -2
for y=5 of the inverse function that means x=5 for the inverse inverse (or original) function looking for the y, which is then the x of the inverse function.
f(5) = -4×5 - 3 = -20 - 3 = -23 = x of the inverse function.
Related Questions
given that the graph below is a transformation of the graph f(x)=x2, which transformation occurred?
Answers
Answer:
whats?
Step-by-step explanation:
Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.
Answers
Explanation:
D = x
H = x + 5
R = 2x
Mean = (D + H + R)/3
= (x + x + 5 + 2x)/3
= (4x + 5)/2
If 1 is added in numerator and denominator then a fraction changes to 4. If 1 is subtracted from the numerator and denominator, fraction changes to 7. Numerator of the fraction is
Answers
Answer:
N=15
Step-by-step explanation:
N=numerator
D=denominator
(1+N)/(1+D)=4
(N-1)/(D-1)=7
(1+N)=4(1+D)
N=4D+3
(4D+3-1)/(D-1)=7
4D+2=7(D-1)
4D-7D=-2-7
D=-9/-3=3
N=4D+3=15
X + 6 > 18
Please help and show work if can.
Answers
Answer:
x > 12
Step-by-step explanation:
[tex]x+6->18-6\\=>x>12[/tex]
That's it for the workout. Hope it helps.
Arithmetic Sequences
Find the missing term. . . . 14, __, 28, . . .
Answers
Answer:
21
Step-by-step explanation:
goes up by 7
Find the mean, median, mode, and standard
deviation of the quiz scores:
20, 58, 74, 77, 77, 85, 86, 90, 95, 98
Answers
Answer:
Step-by-step explanation:
mean = sum of data / no of data
20 + 58 + 74 + 77 + 77 + 85 + 86 + 90 + 95 + 98 / 10
760 / 10
76
to find median u should arrange the data from ascending to descending order.
since the given data is already arranged u dont need to change.
median = (N + 1)/2 (N means no of data)
=10 + 1 / 2
=11 / 2
=5.5
= 5 th term + 6 th term /2
=77 + 85 /2
=162 / 2
=81
mode means most repeating number . so in this given data 77 is repeated two times while others occured just one times . so the mode of the given data is 77.
Mode = 77
How many bags of concrete are needed to fill the path 1m3 requires 106 x 20kg bags of concrete The pond is 7m diameter and the path around is 2m 50mm deep
Answers
Answer:
300 Bags
Step-by-step explanation:
According to the Question,
Given that, We are laying a concrete border around a circular pond. The pond is 7 metres in diameter and is surrounded by a path 2 metres wide.The radius of the pool = 3.5 m; the overall radius including the border = 3.5 + 2 = 5.5m
The area of the concrete borderoverall area - pool area = border area(A)
A = π×5.5² - π×3.5²
A = 56.55 sq m
The concrete needs to be 50 millimetres deep.the volume of the concrete, change 50 mm to .05 m
56.55 * 05 = 2.8275 cu/meters
We are using premixed bagged concrete.1 cubic metre requires 106 x 20 kg bags.
So For the number of bags106 * 2.8275 = 299.715 ≈ 300bags
300 bags of 20 kg of premixed concrete We needPlease help me with this question!
Answers
Answer:
part 2 of 3 means is it ans
Step-by-step explanation:
I don't understand ur question can u explain me then I I will ans
How many solutions does the following system of linear equations have?
y = 5x – 2
( y= 5x+4
O No solutions
O One solution
0 Two solutions
O Infinite solutions
Answers
Answer:
No Solution
Step-by-step explanation:
because both of them have same gradient or slope.
we can say that those linear equations are parallel
Argent deadline is tomorrow a²-(b-c)²
Answers
Answer:
[tex]a^2 - ( b- c)^2 = a^ 2- b^2 - c^2 +2 bc[/tex]
Step-by-step explanation:
[tex]Using \ (x - y)^2 = x^2 - 2xy + y^2[/tex]
[tex]a^2 - (b - c)^2 = a^2 - ( b^2 - 2bc + c^2 ) = a^2 - b^2 + 2bc - c^2 = a^2 - b^2 - c^2 + 2bc[/tex]
literally help meee because I don't understand
Answers
Firstly you should draw a line from end of the 7cm line perpendicular to the 11cm line
Then you will get a rectangle and a triangle find the area and add them
Area of rectangle will be
(l*b)
=3*7
=21
Then find the area of the triangle like
(1/2)b*h
=(1/2)3*4
=6
The simply add the areas and you can get the answer as 27
Hope it helps : )
Answer and Step-by-step explanation:
You are being asked to find the area of a trapezoid. The area of a trapezoid is:
[tex]\frac{a+b}{2}[/tex] × h
Where:
a = Top base
b = Bottom base
h = Height
Plug in the values given to you via from the page.
[tex]\frac{7+11}{2} (3)\\\\\\\frac{18}{2}(3)\\\\(9)(3) = 27[/tex]
The answer (the area) is 27 [tex]cm^2[/tex].
#teamtrees #PAW (Plant And Water)
Answer fast please :( Kristy wants to know what the probability is that a card drawn randomly from a deck will be a club her sample space includes all 52 cards in a standard deck which of these outcomes compose the event
Answers
Answer:
.25
Step-by-step explanation:
there are 13 clubs
13/52= 1/4
1/6 of a farm is planted maize,1/4 is planted beans and the remaining part is planted potatoes.What fraction of field is planted potatoes?
Answers
Answer:
7/12
Step-by-step explanation:
fraction of field is planted potatoes = 1 - sum of fraction of farm planted with maize and beans
sum of fraction of farm planted with maize and beans =
[tex]\frac{1}{6} + \frac{1}{4}[/tex]
[tex]\frac{2 + 3}{12} = 5/12[/tex]
1 - 5/12 = 7/12
(Find m∠IGH) m∠IGH =
Answers
Answer:
∠IGH = 50°
Hope this helps! :)
pls help quickly!! :(
what is the surface area of the right cone below?
Answers
Answer:
B.
Step-by-step explanation:
Answer:
D, 143.
Step by step explanation:
Which statements about this system of equations are true? Check all that apply. Negative x + 6 y = 16. 8 x minus 6 y = negative 2.
Answers
Step-by-step explanation:
The given equations are :
-x+6y = 16 ...(1)
8x-6y = -2 ...(2)
The y-variable will be eliminated when adding the system of equations.
Adding equations (1) and (2).
-x+6y+8x-6y = 16+(-2)
7x = 14
x = 2
Put the value of x in equation (1).
-2+6y = 16
6y = 16+2
y = 3
There is only one solution to the system of equations i.e. (2,3).
Simplify 5(x + y) -3(x - y)
Answers
Answer:
2x + 8y
Step-by-step explanation:
5x + 5y - 3x + 3y
5x - 3x + 5y + 3y
2x + 8y
Round 382 to 1 significant figure
Answers
Answer:
382=380
Step-by-step explanation:
l don't know the answer but just trying
Rounding to one significant figure is to round the given number into a number where the first digit is a number and the remaining digits are all zeroes.
The number after rounding 382 to 1 significant figure is 400.
What is place value?The place value of a number is given as:
Example:
1234.567
1 = thousand place value
2 = hundred place value
3 = tens place value
4 = ones place value
5 = tenths place value
6 = hundredths place value
7 = thousandths place value
We have,
382
We will round to 1 significant figure.
This means the hundred place value must be the only number remaining while keeping all the place values as zero.
Since the tens place value is more than 4.
We can round the hundred place value 3 into 4.
Now,
382 will be 400 when rounded to 1 significant figure.
Thus,
The number after rounding 382 to 1 significant figure is 400.
Learn more about place value here:
https://brainly.com/question/27734142
#SPJ2
i need help with the function plz!!
Answers
Answer:
[tex]2048 \times( \frac{1}{4} ) {}^{x} [/tex]
Step-by-step explanation:
Objective:Functions
The table of values range and domain isn't proportional so the answer is exponential.
A exponential function is represented by
[tex]ab {}^{x} [/tex]
The y values are decreasing by a common ratio of 4 so our b(our base) cant be negative so it will be
[tex] \frac{1}{4} [/tex]
b=1/4 so plug that in our expression.
[tex]a( \frac{1}{4} ) {}^{x} [/tex]
Let plug in 1,512.
[tex]a( \frac{1}{4} ) {}^{1} = 512[/tex]
[tex] \frac{1}{4} a = 512[/tex]
[tex]a = 2048[/tex]
So our function is
[tex]2048 \times ( \frac{1}{4} ) {}^{x} [/tex]
the common ratio between the number sequence is 4
i solved it by taking 512 and dividing it by the previous number 128 and i did the same to the rest of the numbers and found the common ratio of 4
Kate hiked 14 miles in 6 hours. Which rate represents the number of miles traveled per hour? L
Answers
Answer:
That would be 14 miles ÷ 6 hours which would be 2.3333 or 2 and 1/3
i have no idea what i’m doing
Answers
Answer:
f(x)=x^2+1 -> f(a+1)=(a+1)^2+1=a^2+2a+1+1=a^2+2a+2
Step-by-step explanation:
Which statements are true of the function represented
by this graph?
Answers
Which graph?
___________
what do you call a french pimple
Answers
Answer:
bouton
Step-by-step explanation:
Henri bought 3 jars of spaghetti sauce. He used a coupon that reduced the cost of each jar by $0.75. If he paid $6.72 altogether, what was the regular price?
Answers
Answer: $8.97
Step-by-step explanation:
he bought three jars and lowered the price by 75 cents for each, so multiply $0.75 by three
$0.75 * 3 = $2.25
so henri saved $2.25 in total
we can add that to what he paid to find the original cost
$6.72 + $2.25 = $8.97
so the original price was $8.97 :)
If the abscissa of a point is negative , then in which all quadrants the point can lies?
Answers
Answer:
The point can either lie on the second quadrant or the third quadrant
Step-by-step explanation:
Mathematically, we have the ordinate and the abscissa
The ordinate represents the y axis while the abscissa represents the x axis value
For the abscissa to be negative, it means we are talking about the negative x axis
Now, the y axis can either be positive or negative too
When it is positive , we are referring to the point lying on the second quadrant
when it is negative, we are referring to the point lying on the third quadrant
Work out the area of a rectangle with base, b = 14mm and perimeter, P = 36mm.
Answers
Step-by-step explanation:
perimeter = 2(lenth + base)
perimeter-2b = 2(length)
Area=length×breadth
Help please if you don’t mind! Thank you
Answers
6x-2+2x=5-2x+3
-8-2 = -8x -2x
10x - 2 = 8
Answer:
6x in the 1st box, 2 in the 2nd, 2x in the 3rd, 3 in the 4th
Next line:
8x in the 1st, 8 in the 2nd
Next line:
10 in the 1st
what is the value n ?
Answers
Answer:
nutella
Step-by-step explanation:
Help !!! Hurry I do not know the answer
Answers
Answer:
wwiwjwjwjwnwnsnsnssnnssnnssnsnsnsnsnwnwn to
She has 40 coins all made up of quarters and dimes, And when she counted them up she had $7.75 from them, how much of each did she have?
Answers
Answer:
x = number of quarters = 25
y = number of dimes = 15
Step-by-step explanation:
Let
x = number of quarters
y = number of dimes
1 dime = $0.10
1 quarter = $0.25
x + y = 40 (1)
0.25x + 0.10y = 7.75 (2)
From (1)
x = 40 - y
Substitute x = 40 - y into (2)
0.25x + 0.10y = 7.75 (2)
0.25(40 - y) + 0.10y = 7.75
10 - 0.25y + 0.10y = 7.75
- 0.25y + 0.10y = 7.75 - 10
-0.15y = -2.25
y = -2.25/-0.15
y = 15
Substitute y = 15 into (1)
x + y = 40 (1)
x + 15 = 40
x = 40 - 15
x = 25
x = number of quarters = 25
y = number of dimes = 15
Total quarters = 25 × $0.25
= $6.25
Total dimes = 15 × $0.10
= $1.5