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Introduction To Relations

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

MathematicsIf \(f(x)=kx+4\) and \(f(5)=29\), what is the value of \(k\)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf f(x) = x² − 3 and f(a) = 13, where a > 0, what is a?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf \(f(x)=6x+2\) and \(f(a)=38\), what is the value of \(a\)?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 (g\circ f) is onto, which statement is definitely true about (g)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=\frac{3x}{x+2}), what is the range of this function?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=\frac{3x}{x+2}), does (f(x)=3) have a real solution?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:R\to R), (f(x)=x^2-8x+20), what is the range?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:R\to R), (f(x)=x^2-8x+20), what is the minimum value?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:R\to R), (f(x)=|x+4|), what is (f^{-1}({6}))?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:R\to R), (f(x)=x^2-6x), why does an inverse function not exist?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=\frac{5x+1}{2}), what is (f^{-1}(x))?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:R\to R), (f(x)=x^3-4), what is (f^{-1}(4))?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (A={1,2}) and (B={a,b,c,d}), can onto functions from (A) to (B) exist?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (A) has (3) elements and (B) has (6) elements, how many one-one functions are there from (A) to (B)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (A={1,2,3,4,5}) and (B={a,b}), how many onto functions are there from (A) to (B)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:A\to B), (A={1,2,3}), (B={u,v,w,z}), and (f={(1,u),(2,v),(3,w)}), what type of function is (f)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=|x-5|), what is the set (f^{-1}({3}))?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=\frac{x+2}{x^2-4}), what is the real domain?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f(x)=\frac{1}{\sqrt{5-x}}), what is the real domain?Class 12Relations and FunctionsIntroduction to RelationsMedium