Answer: Range of f(x)={z | z be any real number}
Step-by-step explanation:
Given function f(x)= log2(x-6)
As logarithmic function is not defined for negative values.
Therefore, 2(x-6)>0
⇒x-6>0
⇒x>6
Clearly Domain of f(x)={x|x>6, x is any real number}
Range of the function is the set of all possible values of f(x) which we got after substituting domain values to the function.
Range of any logarithmic function of the characteristic form
p log q (x-a)+b is all real values.
i.e. Range of f(x)={z | z be any real number}
