Question

How do you find domain and range for `f(x) = (x^2 - 16) / (x^2 - 25)`?

Answer 1

Domain = `x in RR: x!=-5, 5`
Range = `x in RR: x!=1`

Explanation:

First solve for domain which for inverse functions is equal to all real numbers except for when the denominator is equal to zero (so solve `x^2-25=0 rarr x=-5,5` so the domain is equal to all real numbers except -5 and 5
To solve for range I had to graph it using (https://www.desmos.com/calculator), there is a mechanical way to find it but graphing is much easier and most of the time you should have access to a graphing calculator