help with this problem

Question

Given that f(x)=x^2−2x+1 and g(x)=x−5, determine each of the following, making sure to fully simplify your answer.

 (f∘g)(x)=   

Answer 1

f(x) = x^2 -2x + 1

g(x) = x-5

f(g(x)) = f(x-5) = (x-5)^2 -2(x-5) +1

= x^2 -10x +25 -2x +10+ 1

= x^2 -12x +36