The domain of the function, f(x)=(|x|-2)/(|x|-3) is (1) R (2) R-{2,3} (3) R-{2,-2} (4) R-{-3,3}

Name: Problem 52, Chapter 6: The IIT Foundation series of Mathematics Class
Uploaded: 2021-08-01T00:10:10-08:00
Duration: 1 min 5 s
Channel: Saurabh Chandra
Description: The domain of the function, f(x)=(|x|-2)/(|x|-3) is (1) R (2) R-{2,3} (3) R-{2,-2} (4) R-{-3,3}

step 1 Hello students in this question we have to find the domain of this function that is mod x minus

The domain of the function, f(x)=(|x|-2)/(|x|-3) is (1) R...

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Key Concepts

Restrictions in Rational Functions

Rational functions are expressed as the ratio of two functions. A key principle in analyzing these functions is identifying values that make the denominator zero, as division by zero is undefined. This process is crucial when working with rational expressions, especially when the denominator includes absolute value expressions.

Domain of a Function

The domain of a function is the set of all input values for which the function is defined. Determining the domain involves identifying restrictions such as values that might cause division by zero or lead to undefined expressions, like negative inputs for square roots in the real number system.

Absolute Value

The absolute value function measures the distance of a number from zero on the number line and is always non-negative. When it is part of a more complex expression, careful consideration is required to solve equations or inequalities, since the nature of absolute value can affect the underlying conditions for equality or inequality.

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