Question

Hey can you please help me posted picture of question

Answer 1

The inverse functions have a property that the composition of two inverse functions always results is x. 

From the given options, only the pair given in option B result in the composition equal to x.

$F(x)= \frac{12}{x}-18 \\ \\ G(x)= \frac{12}{x+18} \\ \\ F(G(x))= \frac{12}{ \frac{12}{x+18} }-18 \\ \\ F(G(x))= \frac{12(x+18)}{12}-18 \\ \\ F(G(x))=x+18-18=x$

This proves, F(x) and G(x) are inverse of each other.

So the answer to this question is Option B