Back to Solve for inverse function — Problem 3 · Task Set 39

HSF.BF.B.4.a Tutor Intake — Finding and Using Inverse Functions

This short check helps your tutor understand where to start. Answer each question on your own. If you are not sure, give your best try — every response helps your tutor plan your sessions.

Grade 9·11 problems·~14 min·Common Core Math - HS Functions·standard·hsf-bf-b-4a
Work through problems with immediate feedback
A

Procedures

1.

Let f(x)=2x3f(x) = 2x^3. The inverse function is f1(x)=x23f^{-1}(x) = \sqrt[3]{\frac{x}{2}}.

Use the inverse to evaluate: f1(16)f^{-1}(16).

Enter your answer. (If the answer is not an integer, enter the exact decimal
or fraction — for example, enter 2 for 83\sqrt[3]{8}.)