Question

Pls answe asap and show work!

11. What is (f.g)(x)?
f(x) = x3 + 3
g(x) = 2x2 + x - 1
-
=

Answer 1

• (fg)(x)
• f(x).g(x)
• (x³+3)(2x²+x-1)
• x³(2x²+x-1)+3(2x²+x-1)
• 2x⁵+x⁴-x³+6x²+3x-3

Answer 2

`(f \cdot g)(x)=2x^5+x^4-x^3+6x^2+3x-3`

Explanation:

Given functions:

`f(x)=x^3+3`

`g(x)=2x^2+x-1`

Therefore:

`\begin{aligned}(f \cdot g)(x) & =f(x) \cdot g(x)\\& = (x^3+3)(2x^2+x-1)\\& = x^3(2x^2)+x^3(x)+x^3(-1)+3(2x^2)+3(x)+3(-1)\\& = 2x^5+x^4-x^3+6x^2+3x-3\end{aligned}`