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HSF.BF.B.4.d Tutor Intake — Domain Restriction and Invertible Functions

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Grade 9·10 problems·~14 min·Common Core Math - HS Functions·standard·hsf-bf-b-4d

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Procedures

The function $f(x) = x^2 + 1$ is restricted to $x \geq 0$ .

Using the swap-and-solve method, the inverse is
$f^{-1}(x) = \sqrt{x - 1}$ .

What is the domain of $f^{-1}$ ? Enter the left endpoint of the domain
interval (the smallest value of $x$ for which $f^{-1}$ is defined).