Determine whether the functions $f(x)$ and $g(x)$ are inverse functions.
-$f(x)=\frac{x-10}{x+8}$
A) $f 1(x)=\frac{x+10}{8+x}$

B) $f^{-1}(x)=\frac{-8 x-1}{x-10}$

C) $f^{1}(x)=\frac{8 x-10}{x-1}$

D) $f^{-1}(x)=\frac{-8 x-10}{x-1}$

Question

Determine whether the functions $f(x)$ and $g(x)$ are inverse functions.
-$f(x)=\frac{x-10}{x+8}$
A) $f 1(x)=\frac{x+10}{8+x}$

B) $f^{-1}(x)=\frac{-8 x-1}{x-10}$

C) $f^{1}(x)=\frac{8 x-10}{x-1}$

D) $f^{-1}(x)=\frac{-8 x-10}{x-1}$

Quizplus · Accepted Answer

The inverse function $f^{-1}(x)$ is found by swapping $x$ and $y$ in the equation $y = \frac{x-10}{x+8}$ and solving for $y$. This results in $f^{-1}(x) = \frac{-8x-10}{x-1}$, which matches option D.

Determine Whether the Functions f(x)f(x)f(x) And g(x)g(x)g(x) Are Inverse Functions f(x)=x−10x+8f(x)=\frac{x-10}{x+8}f(x)=x+8x−10​ A) f1(x)=x+108+xf 1(x)=\frac{x+10}{8+x}f1(x)=8+xx+10​

Determine Whether the Functions $f(x)$ And $g(x)$ Are Inverse Functions $f(x)=\frac{x-10}{x+8}$ A) $f 1(x)=\frac{x+10}{8+x}$