Question

What are the domain and range of the function f(x) = log(x-4)-3?

Answer 1

For the given logarithmic function, we have:

domain: (4, ∞).

range: (-∞, ∞).

How to determine the domain and range of the function?

For a function y = f(x), the domain is the set of the possible input values, and the range is the set of the possible output values.

Here we have the function:

f(x) = log(x - 4) - 3

First, we know that the range of logarithmic functions is the set of all real numbers.

We also know that the argument of logarithmic functions can only be larger than zero.

So the domain is defined by x > 4.

Then we have:

domain: (4, ∞).

range: (-∞, ∞).

If you want to learn more about domain and range.

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