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Sagot :

Answer:

404

Step-by-step 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