Problem 6 - College Algebra Essentials

Question

Find the domain of each function. $$f(x)=x^{2}+x-12$$

Step-by-Step Solution

Answer

The domain of the function \(f(x) = x^{2} + x - 12\) is all real numbers.

Step 1: Identify The Type Of Function

The function \(f(x) = x^{2} + x - 12\) is a polynomial function. Polynomial functions are defined for all real x-values.

Step 2: Look For Undefined Values

There are no square roots, fractions or logarithms in the function where x could potentially make the function undefined.

Step 3: Identify The Domain Range

Since there are no restrictions on x, the function is defined for all real numbers. So, the domain of this function is all real numbers.