Precalc question

Question

Find the domain of this function: -5/x+1

1. {x | x ≠ −5}
2. {x | x ≠ 1}
3. {x | x ≠ −1}
4. all real numbers

Answer 1

The denominator of a rational function cannot be 0, so the find domain restrictions, set the denominator equal to zero and solve.

x+1=0 Subtract 1 from both sides

x=-1 cannot be part of the domain.

The solution is 3. {x | x ≠ −1}