QuestionFind the domain of the function .
Studdy Solution
STEP 1
Assumptions1. We are dealing with a rational function of the form . . The domain of a rational function is all real numbers except those for which the denominator is zero.
STEP 2
To find the domain of the rational function, we need to find the values of for which the denominator is not zero. This means we need to solve the equation .
STEP 3
To solve the inequality , we can first solve the equation .
STEP 4
The equation is a quadratic equation, which can be factored into .
STEP 5
Setting each factor equal to zero gives the solutions and .
STEP 6
These are the values of for which the denominator of the rational function is zero. Therefore, the domain of the rational function is all real numbers except and .
The domain of the rational function is .
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