Question
example of all real numbers domain
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GPT-4o mini
An example of a function with all real numbers as its domain is the function \( f(x) = x^2 \). In this function, you can input any real number for \( x \), and the output will always be a defined real number (the square of \( x \)).
Another example is the linear function \( g(x) = 3x + 5 \), where again, you can input any real number for \( x \).
In mathematical notation, the domain of both functions can be written as:
\[
\text{Domain}_f = \text{Domain}_g = \mathbb{R}
\]
where \( \mathbb{R} \) represents the set of all real numbers.
Another example is the linear function \( g(x) = 3x + 5 \), where again, you can input any real number for \( x \).
In mathematical notation, the domain of both functions can be written as:
\[
\text{Domain}_f = \text{Domain}_g = \mathbb{R}
\]
where \( \mathbb{R} \) represents the set of all real numbers.