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Find the Domain

g(x)=(-1)/(23)x^(2)+7

Find the Domain $\newline$ $g(x)=\frac{-1}{23} x^{2}+7$

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Domain and range of square root functions: equations

Full solution

Q. Find the Domain

\newline

g(x)=\frac{-1}{23} x^{2}+7

Identify Function Type: Identify the type of function we're dealing with. $g(x)$ is a quadratic function because it has an $x^2$ term.
Recall Domain Definition: Recall the domain of a quadratic function. Quadratic functions are defined for all real numbers because you can square any real number.
Check for Restrictions: Check for any restrictions in the function. There are no denominators that could be $0$ and no square roots that require non-negative numbers.
State Domain: State the domain based on the previous steps. Since there are no restrictions, the domain of $g(x)$ is all real numbers.

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