Question

Find the component g.

Answer 1

Answer:

The function $g(x) = x-1$

Step-by-step explanation:

Here $f(x) = x-2$

Let $y=x-2$

Solving for x we get

$x=y+2$    ....(1)

We are also given that

$g(f(x)) = x-3$

So we replace $f(x) \ by \ y$

We get

$g(y) = x-3$

But $x=y+2 \ from \ (1)$

We have

$g(y) = y+2-3$

$g(y)=y-1$

or

$g(x)=x-1$