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

4x^4
8x^4 + 1
8x^2 + 1
(8x^2 + 1)^2

Answer 1

I hope this helps you

Answer 2

The answer is 8x^4 + 1

h(x) = x²
f(g(h(x))) = f(g(x²))

g(x) = 4x²
g(x²) = 4(x²)² = 4x²*² = 4x⁴

f(g(h(x))) = f(g(x²)) = f(4x⁴)

f(x) = 2x + 1
f(4x⁴) = 2 * 4x⁴ + 1 = 8x⁴ + 1



f(g(h(x))) = f(g(x²)) = f(4x⁴) = 8x⁴ + 1