If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of mc006-1.jpg?

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 372 People

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of mc006-1.jpg? 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

Answered by maham237 @ 25/12/2020

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.

The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1.

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