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

Respuesta :

MrsStrong

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.


yqbri

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.

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