What are the domain and range of f (x) = log (x minus 1) 2? domain: x > 1; range: y > 2 domain: x > 1; range: all real numbers domain: all real numbers; range: y > 1 domain: all real numbers; range: all real numbers.

Respuesta :

The domain and range of the function are  x > 1 and all real numbers respectively

Given the function

  • f(x) = log(x-1)²

Domains are input values for which the given function exists. From the given log functions, the function in parenthesis has to be greater than zero for the function to exist that is:

x - 1 > 0

x > 0 + 1

x > 1

Hence the domain of the function is x > 1

The range is the output value for which the function exists. The range f(x) can exist on all real numbers.

Therefore the domain and range of the function are  x > 1 and all real numbers respectively

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Answer:

domain: x > 1; range: all real numbers