Question

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

f(x) = 8/x and g(x) = 8/x

Answer 1

f(x)=8/x
g(x)=8/x.
f(g(x))=f(8/x) put 8/x inplace of x in f(x)
\[f(8/x)=\frac{ 8 }{ \frac{ 8 }{ x } }=8*\frac{ x }{ 8 }=x\]
similarly find
g(f(x))=g(8/x)

Answer 2

I understand now. Thank you!

Answer 3

you're welcome...:)