Finding Inverses of Functions: A Step-by-Step Guide
Interactive Video
•
Mathematics
•
8th - 12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Olivia Brooks
Used 1+ times
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the inverse of a function?
Switch x with y
Isolate the y variable
Replace f(x) with y
Divide both sides by the coefficient of y
Tags
CCSS.HSF-BF.B.4A
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you solve for y in the equation x = y^3 + 8?
Add 8 to both sides
Divide both sides by 3
Take the cube root of both sides
Subtract 8 from both sides
Tags
CCSS.8.EE.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inverse function of f(x) = x^3 + 8?
y = x^3 + 8
y = 3√(x - 8)
y = x/3 + 8/3
y = (x - 8)^3
Tags
CCSS.HSF-BF.B.4A
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the equation x = √(y + 2) - 5, what is the next step after adding 5 to both sides?
Take the square root of both sides
Divide both sides by 2
Subtract 2 from both sides
Square both sides
Tags
CCSS.HSA.REI.A.2
5.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
What is the final form of the inverse function for f(x) = √(x + 2) - 5?
y = x + 5 - √2
y = √(x + 7)
y = x^2 + 10x + 23
y = (x + 5)^2 - 2
Tags
CCSS.HSF-BF.B.4A
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you remove the cube root symbol in the equation x = ³√(y + 4) - 2?
Subtract 2 from both sides
Cube both sides
Add 4 to both sides
Divide both sides by 3
Tags
CCSS.HSA.REI.A.2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inverse function of f(x) = ³√(x + 4) - 2?
y = ³√(x - 2) + 4
y = (x + 2)^3 + 4
y = (x + 2)^3 - 4
y = x^3 + 4
Tags
CCSS.HSF-BF.B.4A
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports
Continue with Google
Continue with Email
Continue with Classlink
Continue with Clever
or continue with
Microsoft
%20(1).png)
Apple
Others
Already have an account?
