Given g(x)=1/x+2 and h(x)=3x

The composite function (ghn)(x) works like this:

Take a number (x) as input

Evaluate h(x) = 3x. Let's call this output z.

Evaluate g(x) = 1/(z+2)

So, if we substitute back z = 3x, the final output is 1/(3x+2). We know that the denominator of a fraction can't be zero, so we must impose

Step-by-step explanation:

x not equal to -2/3 is the answer.

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1