Question

Are the two functions \( f(x)=x^{2}-6 x+5 \) and \( g(x)=(x-3)^{2}-4 \) the same function?

Answer 1

Same function

Explanation:

By completing the square for f(x):

`f(x)=x^2-6x+5\\f(x)+4=x^2-6x+9\\f(x)+4=(x-3)^2\\f(x)=(x-3)^2-4`

Therefore, f(x) and g(x) are the same function.