If f(x) = x² – 25 and g(x) = x – 5, what is the domain of (f/g) (x)?
all real values of x
all real values of x except x = 5
all real values of x except x = –5
all real values of x except x = 5 and x = –5

All real values of x except x = 5

Step-by-step explanation:

The questions asks for the domain of [f/g](x).

That is f(x) /  g(x) = [x^2 - 25] / [X-5].

The domain of that functions are all the real except those where the denominator becomes zero.

You find those points by doing X - 5 = 0 => x = 5.

Then, the domain of [f/g](x) is all real numbers except x = 5.

(5x-1)^2= (5x)^2-2(5x)×1+(1)^2=25x^2-10x+1