Question

Given `f(x) = 7x-9` and `g(x) = x^2`, what is `(f*g)(x)`?

Answer 1

See a solution process below:

Explanation:

We can write `(f * g)(x)` as:

`(f * g)(x) = (7x - 9)x^2`

We can simplify this function by multiplying each term with in the parenthesis by the term outside the parenthesis on the right side of the function:

`(f * g)(x) = (7x - 9)color(red)(x^2)`

`(f * g)(x) = (7x xx color(red)(x^2)) - (9 xx color(red)(x^2))`

`(f * g)(x) = 7x^3 - 9x^2`