Question

write a rule for $g$.
let the graph of $g$ be a translation 2 units down, followed by a reflection in the y-axis of the graph of $f(x)=\log x$.
$g(x)=\square$

Explanation:

Step1: Translate f(x) down 2 units

$h(x) = \log x - 2$

Step2: Reflect over y-axis (replace x with -x)

$g(x) = \log(-x) - 2$

Answer:

$\log(-x) - 2$