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Back to Solve for inverse function — Problem 5 · Task Set 40

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.

1.

Find f−1(x)f^{-1}(x) for f(x)=x+3x−2f(x) = \dfrac{x + 3}{x - 2}, where x≠2x \neq 2.

After applying the swap-and-solve method, the inverse is of the form
f−1(x)=ax+bx−cf^{-1}(x) = \dfrac{ax + b}{x - c}.
Enter the value of cc.