Question

How to solve for the domain of a function?

A) Find where the function is equal to zero
B) Identify the values of x that make the function undefined
C) Determine the critical points of the function
D) Evaluate the function at x=0

Answer 1

To solve for the domain of a function, identify values of x that make the function undefined and exclude them from the domain.

Step-by-step explanation:

To solve for the domain of a function, you need to identify the values of x that make the function undefined. Here are the steps to solve for the domain:

1. Identify any values of x that would make the function undefined. Examples include division by zero or square roots of negative numbers.
2. Exclude those values from the domain, as they would result in undefined or imaginary outputs.
3. State the domain using interval notation or set notation.

For example, if the function is f(x) = sqrt(x-2), x-2 must be greater than or equal to 0 to avoid taking the square root of a negative number. So the domain would be x >= 2.