f(x) * g(x) Multiplying Functions?

Question

Let f(x) = x^2 + 8x + 7 and g(x) = x + 8

Find f(x) * g(x)

Answer 1

this is 2 simple this is meaning (x^2 +8x +7)(x + 8)
first you have to make sure to multiply each term
(x^2)(x)=x^3
(x^2)(8)=8x^2
(8x)(x)=8x^2
(8x)(8)=64x
(7)(x)=7x
(7)(8)=56

now combine like terms... x^3+ (8x^2 + 8x^2) + (64x + 7x) +56
x^3 + 16x^2 +71x +56....that is going to be your answer.

Answer 2

Just put f(x)*g(x) = (x^2 + 8x + 7)(x +8) and multiply out the brackets.

Answer 3

(x^2 + 8x + 7)(x+8) = x^3+8x^2+7x+8x^2+64x+56=

=x^3+16x^2+71x+56

Answer 4

are you talking about composing functions?
such as: f(g(x))

otherwise its just multiplication across the perentheses.

but if you want f(g(x)), take your function f(x), and everywhere you see "x", replace it with g(x) or (x+8)
thus you get: (x+8)^2 + 8(x+8) + 7

the same thing is true for g(f(x)), just replace.
(x^2 + 8x + 7) + 8

hope this helps