Question

If f(x) = 3x + 5 and g(x) = -2x2 – 5x + 3, find (f + g)(x).=A. (f+ g)(x) = -2x2 + 8x + 8=B. (f+ g)(x) = -2x + 8O c. (f+ g)(x) = -2x2 - 2x + 8-O D. (f+ g)(x) = -4x+8

Answer 1

Given:

`f(x)=3x+5\text{ and }g(x)=-2x^2=5x+3.`

Aim:

We need to find (f+g)(x).

Step-by-step explanation:

We know that

`(f+g)(x)=f(x)+g(x)`

Substitute know values.

`(f+g)(x)=(3x+5)+(-2x^2+5x+3)`

`(f+g)(x)=3x+5-2x^2+5x+3`

Add like terms that have the same variable with the same power of the variable.

`(f+g)(x)=-2x^2+5x+3x+3+5`

`(f+g)(x)=-2x^2+8x+8`

Final answer:

`(f+g)(x)=-2x^2+8x+8`