Question

What are the domain and range of the logarithmic function f(x) = log7x? Use the inverse function to justify your answers.

Answer 1

Answer:

The domain of f is x > 0.

The range of f is all real numbers.

The domain of the inverse function is all real numbers.

The range of the inverse function is y > 0.

The domain of f is the same as the

range of the inverse function.

The range of f is the same as the

domain of the inverse function.

Answer 2

Answer:

• The domain of f is x > 0.

• The range of f is all real numbers.

and

• The domain of f is the same as the  range of the inverse function.

• The range of f is the same as the  domain of the inverse function.

Step-by-step explanation:

All log functions without any additional terms added to it outside the operation have domain x>0 and all real number range.

When the inverse is found, (x,y) are switched to (y,x). This measn the range becomes the domain the domain becomes the range.