Write the domain of the function in interval notation. k(x)=(1)/(49-x^2)

Name: Problem 4, Chapter 2: College Algebra Essentials
Uploaded: 2021-08-08T13:12:43-08:00
Duration: 1 min 27 s
Channel: Nick Johnson
Description: Write the domain of the function in interval notation. k(x)=(1)/(49-x^2)

step 1 Hello, so here we have our function, K of X, is going to be equal to 1 over 49 minus X squared.

Write the domain of the function in interval notation....

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Key Concepts

Domain of a Function

The domain of a function refers to the set of all possible input values (typically x-values) for which the function is defined. When finding the domain, any restrictions, such as division by zero or taking the square root of a negative number, must be considered to exclude those problematic values.

Rational Functions and Restrictions

Rational functions are expressions formed by the ratio of two polynomials. A key characteristic of rational functions is that they are undefined when the denominator is zero. To determine the domain of a rational function, you set the denominator equal to zero and solve for the variable, then exclude those solutions from the domain.

Interval Notation

Interval notation is a mathematical shorthand used to represent subsets of real numbers, particularly useful for expressing domains. It uses parentheses and brackets to denote open and closed intervals, respectively, and unions to combine non-adjacent intervals.

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