Determine whether the functions $f(x)$ and $g(x)$ are inverse functions.
-$f(x)=x-9, g(x)=x+9$

Name: Determine whether the functions $f(x)$ and $g(x)$ are inverse functions. -$f(x)=x-9, g(x)=x+9$
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Question

Quizplus · Accepted Answer

For two functions to be inverses of each other, the composition of one with the other in both orders must yield the identity function. Here, $f(g(x)) = (x+9)-9 = x$ and $g(f(x)) = (x-9)+9 = x$, so $f(x)$ and $g(x)$ are indeed inverse functions.

Determine Whether the Functions f(x)f(x)f(x) And g(x)g(x)g(x) Are Inverse Functions f(x)=x−9,g(x)=x+9f(x)=x-9, g(x)=x+9f(x)=x−9,g(x)=x+9

Determine Whether the Functions $f(x)$ And $g(x)$ Are Inverse Functions $f(x)=x-9, g(x)=x+9$