Answer:
Step-by-step explanation:
f(x) = log(x), to achieve the graph of g(x) = log(-3x+9) + 4
factor out the -3 inside the parenthesis
 g(x) = log(-3(x-3)) + 4
the +4 Â shifts the graph up 4 units
-3 Â inside the parenthesis moves it to the right units
3 compresses it by a factor of 3 in the x direction
- by the 3 Â on the outside of the reflects it about the y axis