Suppose that f(x)=2x+2. Find a function g so that f(g(x))=x for real numbers x.?

Question

Suppose that f(x)=2x+2. Find a function g so that f(g(x))=x for real numbers x.

g(x)=_____

Answer 1

1/2x - 1

Answer 2

If you choose g(x) as the inverse of f, f(g(x))=x

y=2x+2

x=2y+2

x-2=2y

(x-2)/2 = y

f^-(x) = (x-2)/2

Let g(x) = (x-2)/2

f(g(x)) = 2 (x-2)/2 +2 = x-2+2 =x

Answer 3

since u have to find g(x)

  so do the following steps

given  f(x)  = 2x+2

f(g(x)) = x

2(g(x)) + 2 =x

g(x) = (x-2) / 2