Answer
$r(x)$
Work Step by Step
This graph is obtained from $f_{1}(x)=\log x$
reflected about they-axis, $f_{1}(-x)$
shifted left 2 units, $f_{1}(-x+2)$
then shifted upward one unit, $f_{1}(-x+2)+1$
so the function is
$f_{1}(-x+2)+1=1+\log(2-x)=r(x)$
