Question

If f(x) = 8x+9, g(x) = -6x and h(x) = 2x^2 evaluate

(gh)(x)

Answer 1

`\boxed {\boxed {\sf (gh)(x)=-12x^3}}`

Explanation:

We are asked to evaluate (gh)(x). This is an operation on functions. Basically, we will multiply g(x) by h(x).

`(gh)(x)= g(x) * h(x)`

The functions are:

• g(x) = -6x
• h(x) = 2x²

We can substitute these into the formula.

`(gh)(x)=(-6x) * (2x^2)`

Multiply. Remember, both the coefficients and variables are multiplied.

`(gh)(x)=(-6*2)(x*x^2)`

`(gh)(x)=(-12)(x^3)`

`(gh)(x)=-12x^3`

(gh)(x) is equal to -12x³