Question

Prove that f(x)=x+3/2 and g(x)=2x-3 are inverses

Answer 1

Yes yyou are absolutely correct!^

Answer 2

That means, F(x) · g(x)=1
(X+3/2) · (2X-3)=1
2X-3=2(X-3/2)
If the X= + or - √11/2
Then the f(x)=x+3/2 and g(x)=2x-3 are inverses.