Algebra 2 · F-BF
Inverse Functions — Find and Verify
The inverse function f⁻¹(x) reverses f. To find it, swap x and y and solve for y. Verify f(f⁻¹(x)) = x.
Algebra 2Common Core HSF-BF.B.4aF-BFVerified correct ✓
Worked examples
Given f(x) = -1x + 2, find f⁻¹(x). Verify by computing f⁻¹(f(0)). Enter the numeric result.
Answer: 0
Given f(x) = -4x + 4, find f⁻¹(x). Verify by computing f⁻¹(f(-5)). Enter the numeric result.
Answer: -5
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