Question

Let f(x)=5x+2 and g(x)=5x^2+4x. After simplifying, (f⋅g)(x)=______

Answer 1

Answer:
`f(g(x))=25x^(2)+20x+2\\`

Explanation:

(f·g)(x) also means f(g(x)).

So basically what we do is take the function g(x) and plug it into f(x) where ever there is the variable x.

`f(g(x))=5(5x^(2)+4x)+2`

Now distribute the 5.

`f(g(x))=25x^(2)+20x+2`

This is as simplified the equation gets as it is not factor-able.