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

Question

Ace Stein

9 September, 16:42

+3

Answers (1)

Know the Answer?

Johnston · 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.

Which expression represents the composition f (g (h (x))) for the functions below?f (x) = 2x + 1g (x) = 4x^2h (x) = x^2A - 4x^4B - 8x^4 + 1C - 8x^2 + 1D - (8x^2 + 1) ^2