Question

15) let f, g, and h be liner functions satisfying f(g(x)) = h(x) for all x. if f(x) = x + 1 and h(x) = 2x-1 then g(x) = ?

help!

Answer 1

g(x)=2x-2

Explanation:

As given,f(g(x))=h(x). or,g(x)+1=2x-1. [f(x)=x+1 so here x is gonna be g(x) then, g(x)=2x-2 [subtract 1 from both sides]