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

Answer:

Option C is correct

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

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, $8x^2+4x-4$