Question

For f(x) = 4x + 2 and g(x) = x^2 - 6, find (f+g)(x)

Answer 1

Answer:

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

Step-by-step explanation:

We are given these following functions:

$f(x) = 4x + 2$

$g(x) = x^2 - 6$

(f+g)(x)

We add the common terms. Thus:

$(f+g)(x) = f(x) + g(x) = 4x + 2 + x^2 - 6 = x^2 + 4x + 2 - 6 = x^2 + 4x - 4$

Thus:

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