Question

If f(x)= -4x + 3 and g(x) = 3x² + 2x - 4 find (f+g)(x)

Answer 1

Answer:

A

Step-by-step explanation:

We have the two functions:

$f(x)=-4x+3\text{ and } g(x)=3x^2+2x-4$

And we want to find (f+g)(x).

Note that this is the same thing to f(x)+g(x). Therefore:

$\begin{aligned} (f+g)(x)&=f(x)+g(x) \\ &=(-4x+3)+(3x^2+2x-4) \end{aligned}$

We simply substituted them for their equations.

Simplify. Combine like terms:

$=(3x^2)+(-4x+2x)+(3-4)$

Add:

$=3x^2-2x-1$

Hence, our answer is A.