Given #f(x) = -3x -2 and g(x) = 5x +2#, what is #f(x) + g(x)#?

1 Answer
Oct 23, 2017

See a solution process below:

Explanation:

#f(x) + g(x) = (-3x - 2) + (5x + 2)#

First, remove all the terms on the right from their parenthesis being careful to manage their signs correctly:

#f(x) + g(x) = -3x - 2 + 5x + 2#

Next, group like tems:

#f(x) + g(x) = 5x - 3x - 2 + 2#

Now, combine like terms:

#f(x) + g(x) = (5 - 3)x + (-2 + 2)#

#f(x) + g(x) = 2x + 0#

#f(x) + g(x) = 2x#