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# 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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Answer
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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
- $$g(f(x)) = x
- f(g(x)) = x
Step 3:: Check Option A
= x$$ ✓
g(x) = \frac{x+ 11}{5}
Step 4:: Verify other options similarly
Option D fails: $$f(g(x)) \neq x
I'll check the remaining options using the same method.
Final Answer
Option A. f(x)= 5x- 11 and g(x)=\frac{x+ 11}{5} are inverses of each other.
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