What are the domain and range…

Maths Questions

What are the domain and range of the logarithmic function f(x) = log7(x)? Use the inverse function to justify your answers.

Answer

The domain of f is x > 0. The range of f includes all real numbers. Additionally, the domain of f corresponds to the range of its inverse function, while the range of f aligns with the domain of the inverse function. To explain further, logarithmic functions typically have a domain of x > 0 and encompass all real numbers as their range. When determining the inverse function, the roles of x and y are exchanged, meaning that the range of the original function converts to its domain and vice versa.

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