Question

If f(x) = 2x - 1, g(x) = $\frac{x + 1}{2}$ for all x ∈ R, then find (gof) (x).

Answer 1

Answer :

(gof) (x) = x.

Step by step explanation

Given,

f(x) = 2x - 1
g(x) = x + 1 / 2

Now,
(gof) (x) = g(f(x)

= g ( 2x - 1 )

= (2x - 1 )+ 1 / 2

= 2x / 2

= x.

Therefore, (gof) (x) = x.