let g(x)=5x-2 and h(x)-x^2+1.find the value of g(h(-4))

Question

show all work

Answer 1

First, we need to find h(-4) by plugging in -4 into the function h(x):

h(-4) = (-4)^2 + 1
h(-4) = 16 + 1
h(-4) = 17

Now, we need to find g(h(-4)) by plugging in 17 into the function g(x):

g(h(-4)) = 5(17) - 2
g(h(-4)) = 85 - 2
g(h(-4)) = 83

Therefore, the value of g(h(-4)) is 83.