topic badge
CanadaON
Grade 11

Finding inverse functions

Interactive practice questions

Consider the function $f\left(x\right)=\sqrt[3]{x}+5$f(x)=3x+5, which has been graphed below.

Loading Graph...

Find an expression for the inverse function $f^{-1}\left(x\right)$f1(x). You may let $y=f^{-1}\left(x\right)$y=f1(x).

Easy
4 min

Find the inverse function of $f\left(x\right)=7x-8$f(x)=7x8 by letting $y=f^{-1}(x)$y=f1(x).

Easy
1 min

Find the inverse function of $f\left(x\right)=\frac{4x}{3}-5$f(x)=4x35 by letting $y=f^{-1}(x)$y=f1(x).

Easy
1 min

Consider the function $f\left(x\right)=6x^3$f(x)=6x3.

Medium
2 min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

11U.A.1.1

Explain the meaning of the term function, and distinguish a function from a relation that is not a function, through investigation of linear and quadratic relations using a variety of representations and strategies

11U.A.1.4

Relate the process of determining the inverse of a function to their understanding of reverse processes

11U.A.1.5

Determine the numeric or graphical representation of the inverse of a linear or quadratic function, given the numeric, graphical, or algebraic representation of the function, and make connections, through investigation using a variety of tools, between the graph of a function and the graph of its inverse

What is Mathspace

About Mathspace