How to determine the domain of a rational function

The video tutorial discusses the concept of domain in mathematics, focusing on three functions: f(x) = x^2, f(x) = √x, and f(x) = 1/x. It explains that the domain is the set of all x values that make an equation true. For f(x) = x^2, the domain is all real numbers. For f(x) = √x, the domain is all non-negative numbers. For f(x) = 1/x, the domain is all real numbers except zero. The tutorial also covers solving quadratic equations using methods like factoring and the zero product property.

What is the domain of the function f(x) = x^2?

• All real numbers

• All positive numbers

• All integers

• All negative numbers

Which of the following numbers is not in the domain of f(x) = √x?

• 9

• -1

• 4

• 0

For the function f(x) = 1/x, which value of x is not allowed?

• 2

• 1

• 0

• -1

What is the domain of the function f(x) = 1/x?

• All negative numbers

• All real numbers except 0

• All integers

• All positive numbers

If f(x) = 1/(x+7)(x-2), which values of x are excluded from the domain?

• x = 7 and x = -2

• x = -7 and x = 0

• x = 0 and x = 2

• x = -7 and x = 2