Question 1025755
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