Question

Which of the following expressions is equal to g(x)?

Answer 1

Answer:

Option D is right

Step-by-step explanation:

Given are two graphs.  The first one is given as

$f(x) = log_{2} x$

The second one equation we have to find out.

Option A given as

$g(x) =\frac{1}{2} log_{2} x$ is having x intercept as

(0,1/2).  But our g(x) has x intercept as 1.  Hence not correct.

Option B: $g(x) = log_{2} \frac{1}{2} x$

This has x intercept as (0,2).  Since does not match with g(x) not correct

OPtion C:

$g(x) = log_{2} 2x$

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)

Answer 2

Answer:

d is the right choice on plato

Step-by-step explanation: