Question

If f(x) = 2x – 1 and g(x) = 3x + 5, then (fog)(x) is equal to

Answer 1

This problem is about the composition of functions.

The given functions are

`f(x)=2x-1,g(x)=3x+5`

The expression

`(f\circ g)(x)`

means that we have to replace g(x) inside f(x), as follows

`(f\circ g)(x)=f(g(x))=2(3x+5)-1`

Now, we solve the expression

`(f\circ g)(x)=6x+10-1=6x+9`

Therefore, the composition is

`(f\circ g)(x)=6x+9`