Answer:
Option D is right
Step-by-step explanation:
Given are two graphs. The first one is given as
[tex]f(x) = log_{2} x\\[/tex]
The second one equation we have to find out.
Option A given as
[tex]g(x) =\frac{1}{2} log_{2} x[/tex] is having x intercept as
(0,1/2). But our g(x) has x intercept as 1. Hence not correct.
Option B: [tex]g(x) = log_{2} \frac{1}{2} x[/tex]
This has x intercept as (0,2). Since does not match with g(x) not correct
OPtion C:
[tex]g(x) = log_{2} 2x[/tex]
Here x intercept = 1 matches with ours.
Also g(2) = 2, twice as that of original f(x)
Hence option C is not right
Option D is only right because x intercept should be 1 and also when x=4 y=2(log 4 to base 2)
