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

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Fluency Practice

Find the inverse of each function. Show your steps.

Let $f(x) = x^2$ with domain $x \geq 0$ .
Which of the following is $f^{-1}(x)$ ?

$f^{-1}(x) = x^2$

$f^{-1}(x) = \pm\sqrt{x}$

$f^{-1}(x) = \sqrt{x}$ , for $x \geq 0$

$f^{-1}(x) = -\sqrt{x}$