Verified answer

You want the domain of

.........x-3

f(x) = ▬▬▬

........x²-25

which equals

f(x) = (x-3)/[(x+5)(x-5)]

The domain is all real numbers

EXCEPT those which cause the

denominator to equal zero.

so x is not -5 and x is not +5

Domain is

Using set builder notation {x:x≠ -5, x≠5}

Using Interval Notation

(-∞,-5)U(-5,5)U(5,∞)

Hi

+/- 5/3