Answer:
404
Explanation:
Given the expression
g(x) = 2x and h(x) = x^2 + 4
Find hoh(-4)
First we need to find (hoh)(x)
(hoh)(x) = h(h(x))
h(h(x)) = h(x^2+4)
h(x^2+4) = (x^2+4)²+4
h(x^2+4) = x⁴+8x²+16 + 4
h(x^2+4) = x⁴+8x²+20
h(h(x)) = x⁴+8x²+20
when x = -4
h(h(-4)) = (-4)⁴+8(-4)²+20
h(h(-4)) = 256+128+20
h(h(-4)) = 404
Hence hoh(-4) is 404