Answer
c
Work Step by Step
First, see figure 5.3, the graph of g(x)=ln(x).
(The parent function)
Note the shape and
a characteristic point (1,0) on the graph (ln1=0).
The graph of the function $g(-x)$ is obtained by
reflecting the graph of the parent function g(x)=ln(x)
across the y-axis.
(As a result, the graph passes through
$(-1,0)$ instead of (1,0)).
Next, the graph of $-g(-x)$ is obtained from $g(-x)$
by reflecting it over the x-axis.
So, the graph of $f(x)=-\ln(-x)$
passes through ($-1,0)$ instead of $(1,0)$,
"flipped" over the x-axis...
... graph (c).
