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

MathematicsIf (f:R\to R), (f(x)=x^2), what is (f^{-1}({4}))?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:[0,\infty)\to[0,\infty)), (f(x)=x^2), what is (f^{-1}(9))?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:R\to R), (f(x)=x^3), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=x^2+1) and (g(x)=\sqrt{x-1}), what is ((g\circ f)(x))?Class 12Relations and FunctionsFunctionsMedium MathematicsIf \(f(x)=x+1\), \(g(x)=2x\), and \(h(x)=x^2\), what is the value of \((h\circ g\circ f)(1)\)?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (f:A\to B), (A={1,2,3,4}), (B={a,b}), and (f={(1,a),(2,a),(3,b),(4,b)}), what type of function is (f)?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=x^2) and the domain is ({-3,-2,-1,0,1,2,3}), how many elements are in the range?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=\frac{x-2}{x+2}), what is the real range?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=\frac{x-2}{x+2}), which value will not be in the range of (f)?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:R\to R), (f(x)=kx+3), is onto, what is the correct condition on (k)?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:R\to R), (f(x)=kx+1), is one-one, what condition is needed on (k)?Class 12Relations and FunctionsFunctionsMedium MathematicsIf f(x) = x² − 1 and f(a) = 8, where a > 0, what is a?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:A\to B) and (g:B\to C) are both one-one, what can be said about (g\circ f)?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:A\to B) and (g:B\to C) are both onto, what can be said about (g\circ f)?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=\frac{x}{x+1}), what is the range of this function?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f(x)=\frac{x}{x+1}), does (f(x)=1) have a real solution?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:R\to R), (f(x)=x^2-4x+5), what is the range?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:R\to R), (f(x)=x^2-4x+5), what is the minimum value?Class 12Relations and FunctionsFunctionsMedium MathematicsIf (f:R\to R), (f(x)=|x|), what is (f^{-1}({2}))?Class 12Relations and FunctionsFunctionsMedium