# Question 5 of 10 Which pair of functions are inverses of each other? O A. $f(x)= 5 x- 11$ and $g(x)=\frac{x+ 11}{5}$ O B. $f(x)=\sqrt[3]{2 x}$ and $g(x)=\left(\frac{x}{2}\right)^{3}$ O C. $f(x)=\frac{7}{x}- 9$ and $g(x)=\frac{x+ 9}{7}$ O D. $f(x)=\frac{x}{6}+ 8$ and $g(x)= 6 x- 8$
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Step 1
I'll solve this step by step, carefully checking if the functions are inverses of each other.

Step 2
: Recall the definition of inverse functions

- $$g(f(x)) = x
- f(g(x)) = x

Final Answer

Option A. f(x)= 5x- 11 and g(x)=\frac{x+ 11}{5} are inverses of each other.