Question

Question 1 of 10
f(x) = 3x³ - 2x² + 4x - 5
g(x) = 6x - 7
Find (f + g)(x).

Answer 1

• (f+g)(x)
• f(x)+g(x)
• 3x³-2x²+4x-5+6x-7
• 3x³-2x²+4x+6x-5-7
• 3x³-2x²+10x-12

Done!

Answer 2

`(f+g)(x)=3x^3-2x^2+10x-12`

Explanation:

Given:

`\begin{cases}f(x)=3x^3-2x^2+4x-5\\g(x)=6x-7 \end{cases}`

`\begin{aligned}(f+g)(x) & = f(x)+g(x)\\& = (3x^3-2x^2+4x-5)+(6x-7)\\& = 3x^3-2x^2+4x-5+6x-7\\& = 3x^3-2x^2+4x+6x-5-7\\& = 3x^3-2x^2+10x-12\end{aligned}`