Answer
The inverse, $f^{-1}(x)$, has the following points:
$(\frac{1}{4}, -2)
\\(\frac{1}{2}, -1)
\\(1, 0)
\\(2, 1)
\\(5, 2)$
Work Step by Step
RECALL:
If $(a, b)$ is a point int he graph of $f(x)$, then $(b, a)$ is in the graph of $f^{-1}(x)$.
$f(x)$ has the following points:
$(-2, \frac{1}{4})
\\(-1, \frac{1}{2})
\\(0, 1)
\\(1, 2)
\\(2, 5)$
Therefore, the inverse, $f^{-1}(x)$, has the following points:
$(\frac{1}{4}, -2)
\\(\frac{1}{2}, -1)
\\(1, 0)
\\(2, 1)
\\(5, 2)$
