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Inverse Functions
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ACT Prep
ACTM.140 Inverse Functions
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Let f(x) = sqrt(x + 5) and g(x) = x
2
- 5. Which statement correctly verifies the inverse relationship with domains?
A
For all real x, both compositions equal x.
B
Only g(f(x)) = x for x >= 0 is needed.
C
For x >= 0, f(g(x)) = x, and for x >= -5, g(f(x)) = x.
D
For x < 0, f(g(x)) = x.
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