Below are the key features of a graph of a function g that is a transformation of the function f(x)=log_2x.

Question

Domain: x>3

Range: all real numbers

The function g is decreasing on the interval x>3.

The equation of the asymptote is x=3 .

The x-intercept is 4.

 

Write the rule for the function g(x).

Answer 1

f(x)=log(2x)

g(x)=log_1/10(x-3) the base of log is 1/10

Domain is x>3

Range is all real numbers

g(x) is decrease on the interval x>3

asymtote is x=3

x intercept is x=4