Question

If f(x) = 4x - 8 and g(x) = 5x + 6, find (f+ g)(x).

Answer 1

9x - 2

Explanation:

f(x) = 4x - 8

g(x) = 5x + 6

because it's (f + g)(x), we can simply add the functions together

{note: don't get thrown off by the (x) being separate parentheses--distributing the x first can help it look familiar:

(x)(f + g)

fx + gx,

it's the same thing}

(4x - 8) + (5x + 6)

here, we want to combine like terms to simplify:

4x + 5x - 8 + 6

4x + 5x - 2

9x - 2

So, (f + g)(x) = 9x - 2

hope this helps!! have a lovely day :)