Question

What is the range of y=log2(x-6)?

A. all real numbers not equal to 0
B. all real numbers less than 6
C. all real number greater than 6
D. all real numbers

Answer 1

Its D

Explanation:

I have no explanation except edge 2022

Answer 2

Answer: Range of f(x)= z be any real number

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>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 be any real number