SOLUTION: if g(a)=(a+4)^2 and h(b)=2b-7 what is h(g(2))?

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Question 1140245: if g(a)=(a+4)^2 and h(b)=2b-7
what is h(g(2))?
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Form the composition and let the input variable be 2, and then evaluate.
-
h%28g%282%29%29
The input to g is 2.
The input to h is g(2).


g%282%29=%282%2B4%29%5E2
g%282%29=6%5E2
g%282%29=36


-
h%2836%29=2%2A36-7
h%2836%29=72-7
h%2836%29=highlight%2865%29

summary: h%28g%282%29%29=65

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The functions can just as well be stated g(x)=(x+4)^2 and h(x)=2x-7.
The composite h(g(x)) would be 2%28%28x%2B4%29%5E2%29-7
2%28x%5E2%2B8x%2B16%29-7
2x%5E2%2B16x%2B32-7
highlight_green%282x%5E2%2B16x%2B25%29
but it may be easier if handled as highlight_green%282%28%28x%2B4%29%5E2%29-7%29.