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Verify Inverses by Composition and Reflection
Worksheet
Grade Level
Pre-Calculus
Pre-CAL.24 Verify Inverses by Composition and Reflection
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Let f(x)=ln(x)+5 and g(x)=exp(x-5). (Domain: x>0 for ln.) Determine which statement is true.
A
Yes. f and g are inverses because f(g(x)) = x and g(f(x)) = x on the given domains.
B
No. f(g(x)) = x but g(f(x)) ≠ x on the given domains.
C
No. g(f(x)) = x but f(g(x)) ≠ x on the given domains.
D
No. Neither composition simplifies to x on the given domains.
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