Answer:
36
Step-by-step explanation:
To answer this question, we need to first understand the notation (f · x)(-2). This is a composite function, and another way to write this is f(g(-2)). This means that we have to find g(-2) and apply the function f to whatever this value is. Let's start by finding g(-2):
[tex]g(x)=x-2\\g(-2)=-2-2\\g(-2)=-4[/tex]
Now that we know g(-2) is -4, we can apply this to f:
[tex]f(x)=x^2-4x+4\\f(-4)=(-4)^2-4(-4)+4\\f(-4)=16-(-16)+4\\f(-4)=16+16+4\\f(-4)=36[/tex]
Therefore, our answer is 36
