Question

Let f(x) = 5x + 2 and g(x) = 2x - 1 how do you find (fog)(x)?

Answer 1

`(f circ g)(x)=10x-3`

Explanation:

Just plug the formula for `g(x)` into the formula for `f(x)` (so replace `x` in the formula for `f(x)` with what `g(x)` equals), then simplify:

`(f circ g)(x)=f(g(x))=f(2x-1)=5(2x-1)+2=10x-5+2=10x-3`.