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Back to Restrict domain for invertibility — Problem 5 · Task Set 46

Exercises: Restrict Domain for Invertibility

Work through each section in order. Show your work where indicated.

Grade 9·20 problems·~30 min·Common Core Math - HS Functions·standard·hsf-bf-b-4d
Work through problems with immediate feedback
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Fluency Practice

1.

f(x)=x2+2f(x) = x^2 + 2, restricted to x≥0x \geq 0. Find f−1(x)f^{-1}(x) by setting y=x2+2y = x^2 + 2, swapping variables, and solving for yy (taking the positive root). Enter your answer as a function rule — type: sqrt(x-2).