Question

What is the domain of the function f(x) graph attached?

Answer 1

all real numbers except x cannot equal -1

Answer 2

We can't divide by zero, so set the denominator equal to zero:
\[x+1 \neq 0 \rightarrow x \neq -1\]

Answer 3

the denominator of that function is undefined at x =-1, hence the vertical asymptote in the graph