If f(x)= -4x^2 and g(x)= 2/x. Find [g0f](x)

g(F(x))=g(-4x^2)= 2/(-4x^2)= -1/(2x)^2

-1/(2x)^2 = [g0f](x)

This is wrong too, maybe it's suppose to be 1/(-2x)^2?

To find [g◦f](x), which represents the composition of functions g and f, we need to substitute f(x) into g(x) and simplify.

Given:
f(x) = -4x^2
g(x) = 2/x

Substitute f(x) into g(x):
[g◦f](x) = g(f(x))

[g◦f](x) = g(-4x^2)

Now, substitute the expression for g(x) with the value of -4x^2:
[g◦f](x) = 2/(-4x^2)

Simplify the expression:
[g◦f](x) = 1/(-2x)^2

So, the correct expression for [g◦f](x) is 1/(-2x)^2, not -1/(2x)^2.