Exercises: Solving for Inverse Functions

Show all algebraic steps for each problem. Write inverse functions using $f^{-1}(x)$ notation.

Grade 9·21 problems·~30 min·Common Core Math - HS Functions·standard·hsf-bf-b-4a

Work through problems with immediate feedback

Fluency Practice

Find the inverse of each function. Show your steps.

$Four-step flowchart of the swap-and-solve procedure applied to f(x) = 2x³, showing each algebraic transformation$

Find $f^{-1}(x)$ for $f(x) = 2x^3$ .

Enter the denominator of the expression under the cube root in $f^{-1}(x)$ .
(For example, if $f^{-1}(x) = \sqrt[3]{\frac{x}{k}}$ , enter $k$ .)