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Identity Function

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (A={1,2,3,4}) and (f:A\to A) has (f(x)=x), what is (f)?Class 12Relations and FunctionsOne-one functionMedium MathematicsWhat type is the identity function (I_A:A\to A), (I_A(x)=x)?Class 12Relations and FunctionsOne-one functionEasy MathematicsOn the set (A={1,2,3}), (f={(1,2),(2,3),(3,1)}) is given. What type of function is it?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=ax+b) and (f\circ f) is the identity function, which statement about (a,b) is correct?Class 12Relations and FunctionsFunctionsExpert MathematicsIf (f(x)=3x-1) and (g(x)=\frac{x+1}{3}), what kind of function is (g\circ f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:A\to B) and (g:B\to A) satisfy (g\circ f=I_A) and (f\circ g=I_B), what is correct about (g)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f) and (g) are inverse functions, what is ((f\circ g)(x))?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:A\to B) and (g:B\to A) satisfy (f\circ g=I_B) and (g\circ f=I_A), what is correct about (f)?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f) and (g) are inverse functions, what is ((g\circ f)(x))?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:A\to B) and (g:B\to A) satisfy (g\circ f=I_A) and (f\circ g=I_B), what is (g)?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f) and (g) are inverses of each other, what is ((f\circ g)(x))?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:R\to R), (f(x)=x), what is ((f\circ f)(x))?Class 12Relations and FunctionsFunctionsEasy MathematicsIf (f:R\to R), (f(x)=x), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsEasy MathematicsIf (f(x)=x+3) and (g(x)=x-3), which statement about (f) and (g) is correct?Class 12Relations and FunctionsFunctionsEasy MathematicsWhat is the function (f:R\to R), (f(x)=x), called?Class 12Relations and FunctionsFunctionsEasy