The domain of a function is the set of valid inputs (x-values); the range is the set of outputs (y-values) it produces. Learn how to find each and what to exclude.
Solve it with the AI Math SolverA function's domain is every input it accepts; its range is every output it can produce. For f(x) = 1/x, the domain excludes 0 (division by zero), so the domain is all real numbers except 0.
To find the domain, exclude inputs that cause division by zero or even roots of negative numbers. To find the range, determine which outputs the function actually reaches.
The domain of a function is the set of all input values (x) for which the function is defined. The range is the set of all output values it can produce.
Exclude inputs that cause division by zero or the even root of a negative number — those are outside the domain. The range is the set of outputs the function actually attains.