Answer
$\quad F(x)=-\log_{3}x $
Work Step by Step
We first locate the graph of $ f(x)=\log_{3}x $ among the six given graphs (from 47-52).
The graph of $ f(x)=\log_{3}x $
- nears the negative y axis as x approaches 0 from the right (graphs 49, 52),
- constantly rises, and passes through (1,0), (3,1), (9,2) (graph 52)
Graph 52 is the graph of $ f(x)=\log_{3}x $.
This graph (graph $50$) is obtained from the graph of $ f(x)$ by reflecting about the x-axis $-f(x)=-\log_{3}(x)$
Which is $F(x)=-\log_{3}x.$
