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

what the question there Is not one?...

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

jocelynm0611

26.09.2021

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

Step-by-step 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

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