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Question 1014729: g(x) = 4x – 4
h(x) = 2x + 5
find g(3) + h(3)
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! if g(x) = 4x - 4, then g(3) means to replace x with 3 and evaluate the expression.
you will get g(3) = 4*3 - 4 = 12 - 4 = 8.
if h(x) = 2x + 5, then h(3) means to replace x with 3 and evaluate the expression.
you will get h(3) = 2*3 + 5 = 6 + 5 = 11.
g(3) + h(3) becomes 8 + 11 = 19.
you could also have combined them when they were still in variable form.
when g(x) = 4x - 4 and h(x) = 2x + 5, then g(x) + h(x) = (4x - 4) + (2x + 5).
remove parentheses to get g(x) + h(x) = 4x - 4 + 2x + 5.
combine like terms to get g(x) + h(x) = 6x + 1.
let's call g(x) + h(x) some other name, such as k(x).
you get k(x) = g(x) + h(x) = 6x + 1.
this results in k(x) = 6x + 1.
when k(x) = 6x + 1, then k(3) = 6*3 + 1 = 18 + 1 = 19.
you get the same solution whether you evaluate them first and then combine, or whether you combine them first and then evaluate.
your solution is that g(3) + h(3) = 19.
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