SOLUTION: If g(x) = 1/2x + 8 and h(x) = 1/2x - 2, what is the value of g(h(-8))?

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Question 1025755: If g(x) = 1/2x + 8
and
h(x) = 1/2x - 2,
what is the
value of
g(h(-8))?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
If g(x) = 1/2x + 8
and
h(x) = 1/2x - 2,
what is the
value of
g(h(-8))?

first find h(-8).

h(x) = 1/2 * x - 2

replace x with -8 and you get:

h(-8) = 1/2 * (-8) - 2

simplify to get h(-8) = -6

now g(x) = 1/2 * x + 8

replace x with h(-8) to get:

g(h(-8)) = 1/2 * h(-8) + 8

replace h(-8) with -6 to get:

g(-6) = 1/2 * (-6) + 8

simplify to get:

g(-6) = 5

that's your solution.

g(h(-8) = 5