Question

Select the correct answer from each drop down menu

Answer 1

`(f*g)(x) = 4x^5-16x^3+x^2-4`

Explanation:

We are given the following functions:

`f(x) = 0.5x^2-2`

`g(x) = 8x^3+2`

Using both functions we need to find value of (f*g)(x).

(f*g)(x) simply means find product of f(x) and g(x) so we will multiply values of each function as shown below:

`(f*g)(x) = (0.5x^2-2)(8x^3+2)`

`(f*g)(x) = 0.5x^2(8x^3+2)-2(8x^3+2)`

`(f*g)(x) = 4x^5+1x^2-16x^3-4`

`(f*g)(x) = 4x^5-16x^3+1x^2-4`

`( f * g ) ( x ) = 4 x ^ 5 - 1 6 x ^ 3 + x ^ 2 - 4`