Question

What are the domain and range of f(x)= log x-5?

Answer 1

The answer is A
Domain: (0, infinity)
Range: ( - infinity, infinity)

Answer 2

The domain of the function are all possible values for variable x and the range are all possible values for variable y.

The parrent function $y=\log x$ has

• the domain $x>0;$
• the range $(-\infty,\infty).$

The function $f(x)=\log x-5$ can be formed by translation the parrent function 5 units down.

The domain of the function  $f(x)$ is the same as the domain of the parrent function.

Since the range of the parrent function is all real numbers, then the range of the function  $f(x)$ are all real numbers too.

Answer: correct choice is A.