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Functions

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

MathematicsIf (f(x)=x^2) is considered from (R) to (R), why does an inverse function not exist?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=\frac{2x+1}{3}), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:R\to R), (f(x)=x^3-1), what is (f^{-1}(7))?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (A={1,2}) and (B={a,b,c}), can onto functions from (A) to (B) exist?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (A) has (3) elements and (B) has (5) elements, how many one-one functions are there from (A) to (B)?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (A={1,2,3}) and (B={a,b}), how many onto functions are there from (A) to (B)?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:A\to B), (A={1,2,3}), (B={a,b,c,d}), and (f={(1,a),(2,b),(3,c)}), what type of function is (f)?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=|x-2|), what is the set (f^{-1}({3}))?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=\frac{x+3}{x^2-9}), what is the real domain?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=\frac{1}{\sqrt{x-1}}), what is the real domain?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=\sqrt{x-2}), what is the real domain?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:R\to[0,\infty)), (f(x)=x^2), which statement is correct about (f)?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:[0,\infty)\to[0,\infty)), (f(x)=x^2), what type of function is (f)?Class 12Relations and FunctionsFunctionsMedium MathematicsWhich statement is correct about (f:R\to R), (f(x)=x^2+1)?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:R\to R), (f(x)=5x-7), which statement is correct about (f)?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=x^2) and (g(x)=x+1), which statement about ((f\circ g)(x)) and ((g\circ f)(x)) is correct?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=x+3) and (g(x)=2x-1), what is ((f\circ g)(x))?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=2x+1) and (g(x)=x^2-1), what is the value of ((g\circ f)(2))?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:R\to R), (f(x)=x^2-2x+3), what is the range of (f)?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=\frac{x-1}{x+2}), what is the real domain?Class 12Relations and FunctionsFunctionsMedium