Question

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

Answer 1

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 .