Question

How do you find the domain of the function `f(x) = (2x + 5)/(2 - x)`?

Answer 1

The Domain of `f(x)` is the set of all values for which `f(x)` is valid.

`f(x)=(2x+5)/(2-x)`
exists for all values of `x` except `x=2` (since division by zero is illegal).

Therefore the Domain of `f(x)` is
`(-oo,2)uu(2,+oo)`