Question

Let `f(x) = -3x-6` and `g(x) = 5x+2`. What is `f(x) + g(x)`?

Answer 1

See a solution process below:

Explanation:

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

First, remove the terms from parenthesis being careful to manage the signs of the individual terms correctly:

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

Next, group like terms:

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

Now, combine like terms:

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

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

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