Question

If f(x) = 3x2 – 2x + 4 and g(x) = 5x2 + 6x – 8, find (f + g)(x).

Answer 1

Put the two equations together and combine like terms

3x^2+5x^2-2x+6x+4-8
8x^2-2x+6x+4-8
8x^2+4x+4-8
8x^2+4x-4

Final answer: C

Answer 2

Option C is correct

`(f+g)(x)=8x^2+4x-4`

Step-by-step explanation:

Given the function:

`f(x) = 3x^2-2x+4`

`g(x) = 5x^2+6x-8`

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

Substitute the given values we have;

`(f+g)(x) = 3x^2-2x+4+5x^2+6x-8`

Combine like terms;

`(f+g)(x) = 8x^2+4x-4`

Therefore the value of
`(f+g)(x)` is,
`8x^2+4x-4`