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Answered

Which expression represents the composition f(g(h(x))) for the functions below?


f(x) = 2x + 1

g(x) = 4x^2

h(x) = x^2


A- 4x^4

B- 8x^4 + 1

C- 8x^2 + 1

D- (8x^2 + 1)^2

Verified Answer :

AL2006

h(x)  =  x²

g(h) = 4 h²  =  4 (x²)²  =  4 x⁴

f(g)  =  2(g) + 1  =  2 (4 x⁴) + 1  =  8 x⁴ +  1      <==  choice - B .

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