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Relations And Functions

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

MathematicsIf (f:\mathbb{R}\setminus{-2}\to \mathbb{R}\setminus{1}), (f(x)=\frac{x+1}{x+2}), what type is (f)?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsChoose the correct statement about (f:\mathbb{R}\setminus{-2}\to \mathbb{R}), (f(x)=\frac{x+1}{x+2}).Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf (f:\mathbb{R}\setminus{1}\to \mathbb{R}\setminus{2}), (f(x)=\frac{2x+3}{x-1}), what is the correct conclusion about (f)?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf (f:(0,\infty)\to [2,\infty)), (f(x)=x+\frac{1}{x}), what type is (f)?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsWhich statement is correct about (f:(0,\infty)\to \mathbb{R}), (f(x)=x+\frac{1}{x})?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf (f:(0,\infty)\to \mathbb{R}), (f(x)=x-\frac{1}{x}), what is the correct conclusion about (f)?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsChoose the correct option for (f:\mathbb{R}\to \mathbb{R}), (f(x)=x-\cos x).Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf (f:\mathbb{R}\to \mathbb{R}), (f(x)=x+\sin x), which statement is correct about (f)?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf (f:\mathbb{R}\to [-4,\infty)), (f(x)=x^4-4x^2), what type is (f)?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsWhat is the correct conclusion for (f:\mathbb{R}\to \mathbb{R}), (f(x)=x^4-4x^2)?Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf (f:\mathbb{R}\to \mathbb{R}) is defined by (f(x)=x^3-3x+1), choose the correct statement about (f).Class 12Relations and FunctionsOnto functionLevel 25Hard MathematicsIf (f:[-2,2]\to [0,4]) is defined by (f(x)=x^2), choose the correct statement about (f).Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsIf (f:\mathbb{R}\to \mathbb{R}) and (g:\mathbb{R}\to \mathbb{R}) are both onto, what is the correct statement about (g\circ f)?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsWhat is the correct conclusion for (f:\mathbb{R}\to \mathbb{R}), (f(x)=x^3-3x^2+3x)?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsIf (f:\mathbb{R}\to [0,\infty)), (f(x)=\ln(1+x^2)), what is correct about (f)?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsChoose the correct option for (f:\mathbb{R}\to \mathbb{R}), (f(x)=\ln(1+x^2)).Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsIf (f:A\to B) is onto and (B) has (4) elements, how many elements must the range have?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsIf (A) has (2) elements and (B) has (2) elements, what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsIf (A) has (3) elements and (B) has (2) elements, how many onto functions are there from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 27Medium MathematicsIf (|A|=5) and (|B|=3), what is the correct statement about the existence of an onto function from (A) to (B)?Class 12Relations and FunctionsOnto functionLevel 27Medium