Question

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

(f · g) (x) = 4x5 - 16x3 + x2 - 4

Explanation:

We have the following functions:

f (x) = 0.5x2 - 2

g (x) = 8x3 + 2

Multiplying and using power properties we have:

(f · g) (x) = 4x5 + x2 - 16x3 - 4

Rewriting we have:

(f · g) (x) = 4x5 - 16x3 + x2 - 4

Answer 2

We have the following functions:
f (x) = 0.5x2 - 2
g (x) = 8x3 + 2
Multiplying and using power properties we have:
(f · g) (x) = 4x5 + x2 - 16x3 - 4
Rewriting we have:
(f · g) (x) = 4x5 - 16x3 + x2 - 4
Answer:
(f · g) (x) = 4x5 - 16x3 + x2 - 4