Question

Given f(x)=3x-5 and g(x)= x+5/3 what is (fog)(x)

Answer 1

Answer: f ° g (x) = x

Step-by-step explanation:

f(x) = 3x - 5

g(x) = $\frac{x+5}{3}$

fg implies :

f ( $\frac{x+5}{3}$ )

What we have done is just to put in the value of g(x). The next thing is that we will substitute  ( $\frac{x+5}{3}$ ) for the value of x in f(x) , that is

fg(x) =3 ( $\frac{x+5}{3}$ ) - 5

fg(x) = x + 5 - 5

fg(x) = x