Question

Select the correct answer from each drop-down menu.

If f(x) = 0.5x2 - 2 and g(x) = 8x3 + 2, find the value of the following function.

(f · g)(x) =
x5=
- x3=
+ x2 - =

Answer 1

Answer: 4x*5-16x*3+1x*2-4

Explanation:

Answer 2

Given functions are:

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

and
`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) = 4x^5-16x^3+x^2-4`

Hence final answer is
`(f*g)(x) = 4x^5-16x^3+x^2-4`.