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Class 12MathematicsRelations and FunctionsFunctionsHard
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If (f(x)=\frac{x-1}{x+1}), what is the domain of (f)?

Answer and explanation

Correct answer: (\mathbb{R}\setminus{-1})

Step 1: The denominator of a fraction must not be zero. Step 2: (x+1=0) gives (x=-1). Step 3: To find the domain, first remove values that make the denominator zero.

Related tags

DomainRational FunctionExcluded ValueFunctionsRelations And FunctionsMathematicsClass 12 Mcq
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  1. 1If (f:A\to B) is a function, what condition is necessary for every element of (A)?
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  3. 3In a function (f:A\to B), what is (A) called?
  4. 4In a function (f:A\to B), what is (B) called?
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  6. 6If (f={(1,2),(2,4),(3,6)}), what is the range of (f)?
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  10. 10If f(x) = 3x − 1, what is the value of f(2) + f(0)?
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