Question

Given f(x)= |x-1|/x^2-25 please determine the domain. Thank you!

A. All real numbers except -5 and 5
B. All real numbers except -5,0 and 5
C. All real numbers except 0
D. All real numbers except 0 and 5

Answer 1

the only thing you have to worry about in your function is division by zero

When does that happen?
When x^2 - 25 = 0
or when x^2 = 25
or when x = ± 5

so your domain is any real number, except x = ±5
which would be a)

Answer 2

Thank you for the explanation! My teacher really never explained it like you did. Do you teach math?