Question

F(x) = 1/x^2 and g(x) = 1/2x+4

f[g(x)] = 4x 2 _____

Answer 1

f[g(x)] = 4x²+1/16

Explanation:

We need to put g(x) into f(x).

f[g(x)] = 1/(1/2x+4)²

f[g(x)] = 1/(1/4x²+16) Solve the exponential.

f[g(x)] = 1/(1/4x²+16) Simply the fraction.

f[g(x)] = 4x²+1/16