let F ( X) = X^2 -2x+1 and g (X) =x-1

Question

A) Find f ( g (2)).
B) Find g (f(-1)).
C) Find f (2) -g(3)
D) Find f(-1)*g(-2)
E) Find f ( X)/g(X)

Answer 1

just plug and chug. No mysteries here:

f(g(2)) = f(1) = 0
g(f(-1)) = g(4) = 3
f(2)-g(3) = 1-2 = -1
f(-1)*g(-2) = 4(-3) = -12
f(x)/g(x) = (x-1)^2 / (x-1) = x-1
for x≠1