Match each function with the expression representing Its Inverse function.
1. g(x)= -0.5 x
2. h(x)= 4 x
3. y= x - 4
4. f(x)= x/2
5. k(x) = x
6. p(x) = x+4
Answers
Answer:
Step-by-step explanation:
1). g(x) = -0.5x
Equation form of the given function is,
y = -0.5x
Interchange x and y,
x = -0.5y
Solve for y,
y = [tex]-\frac{x}{0.5}[/tex]
y = -2x
Inverse function will be,
[tex]g^{-1}x=-2x[/tex]
2). h(x) = 4x
Equation form of the function will be,
y = 4x
Interchange x and y,
x = 4y
Solve for y,
y = [tex]\frac{x}{4}[/tex]
Inverse function will be,
[tex]h^{-1}(x)=0.25x[/tex]
3). y = x - 4
Interchange x and y,
x = y - 4
Solve for y,
y = x + 4
Therefore, inverse of the linear equation is,
y = x + 4
4). f(x) = [tex]\frac{x}{2}[/tex]
Equation form of the function will be,
y = [tex]\frac{x}{2}[/tex]= x
Interchange x and y,
x = [tex]\frac{y}{2}[/tex]
Solve for y,
y = 2x
Therefore, inverse function will be,
[tex]f^{-1}(x)=2x[/tex]
5). k(x) = x
Equation form of the function will be,
y = x
Interchange x and y,
x = y
Solve for y,
y = x
Inverse of the function 'f' will be,
[tex]k^{-1}(x) =x[/tex]
6). p(x) = x + 4
Equation form of the function will be,
y = x + 4
Interchange x and y,
x = y + 4
Solve for y,
y = x - 4
Inverse of the function 'p' will be,
[tex]p^{-1}(x)=x - 4[/tex]
Related Questions
Kylie drove 406 miles in 7 hours. If she continued at the same rate, how far would she travel in 19 hours?
Answers
Answer:
1,102
Step-by-step explanation
406/7=56 (unit rate)
56*19=1102
Answer:
The answer is 1,102
Step-by-step explanation:
First, we need to figure out how much per hour.
406 divided by 7 = 58
Now we multiply by the hours
58 x 19 = 1,102
#LearnWithBrainly
Domain is the set of all input values, while range is the set of all:
a. independent variables
b. output values
c. relations
d. functions
Please select the best answer from the choices provided.
Answers
Solve each equation. Check your solution.
4t - 2 = 14
Answers
Answer:
t=4
Step-by-step explanation:
4t-2=14
You then add 2 to both sides and get
4t=16
Then you must divide 16 by 4 and get
t=4
The solution of the linear equation 4t - 2 = 14 will be 4.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equation is given below.
4t - 2 = 14
The degree of the equation is one, so the equation will be a linear equation. Then solve the equation for 't', then we have
4t - 2 = 14
4t = 16
t = 16 / 4
t = 4
The solution of the linear equation 4t - 2 = 14 will be 4.
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https://brainly.com/question/22613204
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which point on the line represents 3/5
Answers
Step-by-step explanation:
The correct answer is: Point B.
The easiest way to solve this is to make the fraction, 3/5, to a decimal.
3/5 = 0.6
Since point B is the closest estimate to 0.6 on the number line, we can confirm that Point B represents 3/5.
Answer:
Step-by-step explanation:
What is the simplified value of the exponential expression 27 1/3?
a. 1/3
b. 1/9
c. 3
d. 9
Answers
Can someone please help me I tryed already
Answers
Answer:look at the picture below
Step-by-step explanation:
The lines P an Q intersect at point O. What is the value of x?
Answers
Answer:
17
Step-by-step explanation:
you add the b and x coordinate divide it by 2 to get the value of p and q which you then divide by the value of ur mom to get x
Simplify the expression:
7f+5+3f
Answers
Answer:
10f + 5
Step-by-step explanation:
7f+5+3f (Given)
10f + 5 (combine like terms)
Answer:
15f is the correct answer
Pls help I’m so confused! What would be the last step?
Answers
Answer:
SSS(Side,Side,Side)
Step-by-step explanation:
In the previous reasons you have proven that all of the sides of each triangle are equal to the corresponding side. You can use SSS to prove that the two triangles are congruent.
Shaun estimated that the attendance at a college game was 1,200 people. The actual attendance was 1,158. What is the percent error of Shaun's estimate? (Round your answer to the nearest tenth) HELP!!! PLEASE THIS IS MY LAST POINT I CAN DO PLEASE PLEASEPLEAPLEAPLEAPLSEPAEEASE HELP
Answers
Answer:
3.5%
Step-by-step explanation:
1200-1158=42
42/1200 =0.035
0.035×100=3.5%
there are 120 cars in a multi storey car park given that 30% of them are blue find the number of cars which are not blue
Answers
Answer:
84 cars
Step-by-step explanation:
30% are blue, which means (100-30=70) 70% are not blue
(70/100)×120= 84
hence, 84 cars are not blue
hope it helps!!!!
i need help with this please!
Answers
Answer:
1
Step-by-step explanation:
Answer:
A.1
Step-by-step explanation:
Please help me with this thank you
Answers
Answer:
I believe the answer to question (a) is 3085 ft and for (b) i think it's 238 ft
Answer:
hi how are you
Step-by-step explanation:
A rectangular roof has a length of 13g and a width of 4g+7. write an expression for the area of the roof.
Answers
Answer:
13g*4g+7
Step-by-step explanation:
Helppppppppppppppppppppp!!!!!!!!
Answers
Because of some theory with angles on same sides of a line between parallel lines, take 180 and subtract the ones you have. 180-107=73 degrees= m angle B
180-46=134 degrees - m angle A
micheal clean 45 cars in 5 days. How many cars does Micheal clean per day
Answers
Answer:
9
Step-by-step explanation:
I divided 45 by 5 and got 9
Answer:
9
Step-by-step explanation:
45 divided by 5 means, split 45 into 5 groups. Which should get you 9 cars per day.
5. A violinist practices one hour a day from Monday through Friday. How many hours must she practice on Saturday
order to have an average (antharctic meani ot two hours a day for the six day period?
K
Answers
Answer:
7 hours
Step-by-step explanation:
First find the total number of hours she practices based on the average of 2 hours a day for six days.
This means 6*2 = 12 , she practices a total of 12 hours.
Next find the total hours she already practiced. She practices 1 hour a day from Mon to Fri, which is 5 days, so 1*5 = 5 hours. This is the hours she practiced already.
To meet the mean, she needs to practice 12-5 = 7 hours more on Saturday.
please give thanks by clicking the red button :)
Answer:
must practice 7 hours on Saturday
Step-by-step explanation:
Let 'x' = number of hours on Saturday
(5 (hours) + x) / 6 (days) = 2
[tex]\frac{5+x}{6}[/tex] = [tex]\frac{2}{1}[/tex]
Cross-multiply to get 5 + x = 12
find the gof of g[5X+2]^3-4
Answers
Answer:
what is value of f in given function
A square pyramid is shown. What is the surface area?
A square based pyramid, with bases labeled 2.5 centimeters and side length of triangle labeled 5 centimeters.
(4 points)
15.25 cm2
15.625 cm2
31.25 cm2
62.625 cm2
Answers
Answer:
C. 31.25 cm²Step-by-step explanation:
Surface area comprises of:
A = Area of square base + 4(area of triangle faces)A = 2.5² + 4*1/2*2.5*5= 31.25 cm²Correct option is C
Answer:
its 31.25 i took the test and got it right
Step-by-step explanation:
POINTS! PLEASE HELP!!! SUPER EASY AND FAST!! I WILL GIVE BRAINLIEST!!
Write an equation of a line that has a slope of "negative one-half" in each form: a) point-slope form
b) slope-intercept form.
Describe how linear data given in a table can help you write an equation of a line in slope-intercept
form.
Pls see attachment
Answers
Answer: Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
Step-by-step explanation:
What is an equation parallel to y=3x-5
Answers
Answer:
ANY line that has a slope of 3, and any y intercept other than -5.
Step-by-step explanation:
Parallel lines have the same slopes, but different y intercepts.
So, it would be ANY line that has a slope of 3, and any y intercept other than -5.
here are a few examples:
y=3x-17
y=3x+4
y=3x+3293248032843209.3432492384032984032984023840398249082
y=3x+5
y=3x-1
y=3x
I’ll give you a brain list !
Suzie is making macaroni for her cousin's birthday party. For every 9 cups of macaroni, she needs to use 27 cups of water. Match the proportional relationships in the table Suzie can use.
Answers
Answer: 1 cup of macaroni for 3 cups of water
Step-by-step explanation:
9/27 divided 3=1 cup/3 cup
Example of a story problem to match the equation 36÷5=7 R1
Answers
Answer:
Sharon's mom baked 36 cookies for her and 5 other friends. Each had an equal amount of cookies. How many did each of them have and how many are left? (This is probably wrong, don't listen to me.)
Step-by-step explanation:
Find the mean, the median, and all modes for the data in the given frequency distribution. (Round your answers to one decimal place. If there is more than one mode, enter your answer as a comma-separated list. If an answer does not exist, enter DNE.)
Points Scored by Lynn Points scored in a basketball game Frequency
2 10
3 9
9 10
11 7
12 3
15 4
16 3
Answers
Answer: Mean = 7.8
Median = 9
Mode = 2,9
Step-by-step explanation: Mean is the average value of a data set. Mean from a frequency table is calculated as:
[tex]E(X)=\frac{2(10)+3(9)+9(10)+11(7)+12(3)+15(4)+16(3)}{10+9+10+7+3+4+3}[/tex]
E(X) = 7.8
Mean for the given frequency distribtuion is 7.8.
Median is the central term of a set of numbers. Median in a frequency table is calculated as:
1) Find total number, n:
n = 10 + 9 + 10 + 7 + 3 + 4 + 3 = 46
2) Find position, using: [tex]\frac{n+1}{2}[/tex]
[tex]\frac{n+1}{2}=\frac{47}{2}[/tex] = 23.5
Median is in the 23.5th position.
3) Find the position by adding frequencies: for this frequency distribution, 23.5th position is 9
Median for this frequency distribution is 9.
Mode is the number or value associated with the highest frequency.
In this frequency distribution, 2 and 9 points happen 10 times. So, mode is 2 and 9.
Mode for this distribution is 2 and 9.
Following are the calculation of mean, median, and modes:
Given value:
[tex]\bold{x \ \ \ \ \ \ f} \\\\ 2\ \ \ \ \ 10 \\3\ \ \ \ \ 9\\9 \ \ \ \ \ 10\\11\ \ \ \ \ 7\\12 \ \ \ \ \ 3\\15 \ \ \ \ \ 4\\16 \ \ \ \ \ 3\\[/tex]
To find:
mean, median, and modes=?
Solution:
[tex]\bold{x \ \ \ \ \ \ f \ \ \ \ \ \ cf \ \ \ \ \ \ fx} \\\\2\ \ \ \ \ 10 \ \ \ \ \ 10 \ \ \ \ \ 20 \\3\ \ \ \ \ 9 \ \ \ \ \ 19 \ \ \ \ \ 27 \\9 \ \ \ \ \ 10\ \ \ \ \ 29 \ \ \ \ \ 90 \\11\ \ \ \ \ 7\ \ \ \ \ 36 \ \ \ \ 77 \\12 \ \ \ \ \ 3\ \ \ \ \ 39 \ \ \ \ 36\\15 \ \ \ \ \ 4\ \ \ \ \ 43 \ \ \ \ 60\\16 \ \ \ \ \ 3\ \ \ \ \ 46 \ \ \ \ 48 \\[/tex]
[tex]\Sigma f = 46 \ \ \ \ \ \ \ \ \ \ \Sigma fx= 358[/tex]
Calculating the Mean:
[tex]Mean=\frac{\Sigma fx}{\Sigma f}[/tex]
[tex]=\frac{358}{46}\\\\= 7.78[/tex]
Calculating the Median:
[tex]n= \Sigma f= 46[/tex]
[tex]Median=\frac{ (\frac{n}{2})^{th} +(\frac{n}{2} +1)^{th}}{ 2}[/tex]
[tex]=\frac{ (\frac{46}{2})^{th} +(\frac{46}{2} +1)^{th}}{ 2}\\\\=\frac{ (23)^{th} +(24)^{th}}{ 2}\\\\=\frac{ 3 +3}{ 2}\\\\=\frac{ 6}{ 2}\\\\=3[/tex]
Calculating the Mode:
Mode is the value of 'x' with the highest frequency is 10 for x= 2 and x=9 therefore, the mode is "2,9".
Learn more:
brainly.com/question/14015029
Graph the following system of equations and find where they meet 3x + 5y = 36 y = 5x - 4
Answers
Answer:
[2,6]
Step-by-step explanation:
3x+5y=36
5x-4=y
3x+5(5x-4)=36
3x+25x-20=36
28x-20=36
28x=56
x=2
5x-4=y
5*2-4=y
10-4=y
6=y
please help!! 10+ points
Answers
Answer:
i dont see the question
Step-by-step explanation:
Belleville High School offers classes on three different foreign languages. Let A be the event that a student is in eleventh grade, and let B be the event that a student is enrolled in French class. A 5-column table has 4 rows. The first column has entries Tenth grade, eleventh grade, twelfth grade, total. The second column is labeled Spanish with entries 107, 56, 89, 252. The third column is labeled French with entries 122, 68, 82, 272. The fourth column is labeled German with entries 6, 14, 8, 28. The fifth column is labeled Total with entries 235, 138, 179, 552. Which statement is true about whether A and B are independent events? A and B are independent events because P(A∣B) = P(A). A and B are independent events because P(A∣B) = P(B). A and B are not independent events because P(A∣B) ≠ P(A). A and B are not independent events because P(A∣B) ≠ P(B).
Answers
Answer:
A) A and B are independent events because P(A∣B) = P(A).
Step-by-step explanation:
Egde 2020
Answer: OPTION A
Step-by-step explanation:
True or false? Help me out
Answers
Answer:
False, becasue 8*1/2 is 4 and 4 doesn't equal 16
Step-by-step explanation:
given f(x)=x(x-3)+4 what is the derivative of f at a?
Answers
[tex]f(x) = {x}^{2} - 3x + 4 \\ \frac{d}{dx} ( {x}^{2} - 3x + 4) \\ g(x) = 2x - 3[/tex]
Let g(x) = f'(x)
Substitute a in x, therefore the answer is.
[tex]g(a) = 2a - 3[/tex]
— Note that it'd be better to use f'(a) or y' instead. For this one, I let g(x) equal the derivative of f(x) —
Please help
Be sure to show your work and solve for f:
8 = f (13-2)
Answers
Answer:
8 = f (13-2)
8=13f-2f
8=11f
8 / 11 = 11f / 11
8/11=f
f=8/11
Step-by-step explanation:
Answer:
Simplifying
8 = F + -1(13 + -2)
Combine like terms: 13 + -2 = 11
8 = F + -1(11)
Multiply -1 * 11
8 = F + -11
Reorder the terms:
8 = -11 + F
Solving
8 = -11 + F
Solving for variable 'F'.
Move all terms containing F to the left, all other terms to the right.
Add '-1F' to each side of the equation.
8 + -1F = -11 + F + -1F
Combine like terms: F + -1F = 0
8 + -1F = -11 + 0
8 + -1F = -11
Add '-8' to each side of the equation.
8 + -8 + -1F = -11 + -8
Combine like terms: 8 + -8 = 0
0 + -1F = -11 + -8
-1F = -11 + -8
Combine like terms: -11 + -8 = -19
-1F = -19
Divide each side by '-1'.
F = 19
Simplifying
F = 19