Question

find f(g(x)) and g(f(x)) andetermine whether the pair of functions f and g ae inerses of each other

f(x)=8x+6and g(x)=x-6/8

Answer 1

they are definitely inverses, which means you should get
\[f(g(x))=x\] and
\[g(f(x))=x\]

Answer 2

first one looks like
\[f(g(x))=f(\frac{x-6}{8})=8\times (\frac{x-6}{8})+6\]
\[=x-6+6=x\]