Question

Select the correct answer from each drop-down menu.

Answer 1

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