Answer:
Option B.
Step-by-step explanation:
Function [tex]f(x)=3log_{10}x[/tex] has been graphed in the figure attached.
We have to find describe the graph formed by the function [tex]g(x)=9log_{10}x[/tex]
To check this we will plug in the value x = 100 in both the functions
[tex]f(100)=3log_{10}100[/tex]
f(100) = 3×2 = 6
[tex]g(100)=9log_{10}100[/tex]
g(100) = 18
[tex]\frac{g(100)}{f(100)}=\frac{18}{6}=3[/tex]
Therefore, for each value of x, function g(x) will be stretched vertically by a factor of 3.
Option B will be the answer.
