Answer:
Option D.
Step-by-step explanation:
The given functions are
[tex]f(x)=1.5^x[/tex]
[tex]g(x)=1.5^{x-h}[/tex]
We need to find the value of h.
From the given graph it is clear that the value of function g(x) is 1 at x=2.
So, substitute x=2 and g(x)=1 in function [tex]g(x)=1.5^{x-h}[/tex], to find the value of h.
[tex]1=1.5^{2-h}[/tex]
It can be rewritten as
[tex]1.5^0=1.5^{2-h}[/tex] [tex][\because 1.5^0=1][/tex]
On comparing both sides we get
[tex]0=2-h[/tex]
[tex]h=2[/tex]
Therefore, the correct option is D.
