Domain Algebraically

The domain is $$\{x \ne 5\}$$ .

2(k - 10)(k + 3)

(x + 2)(2x - 3)

The domain is $$[-5, \infty)$$ .

The range is $$[0, \infty)$$ .

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

A vertical asymptote is a line $$x = a$$ where a function approaches infinity or negative infinity as x approaches a.

The domain is the set of input values (x-values), while the range is the set of output values (y-values) of a function.

To find the domain of a rational function, set the denominator equal to zero and solve for x. The domain excludes these values.

Factoring simplifies expressions and equations, making it easier to solve for variables.