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)= (12)/(x)-18 \\ \\ G(x)= (12)/(x+18) \\ \\ F(G(x))= (12)/( (12)/(x+18) )-18 \\ \\ F(G(x))= (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