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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(x)=\frac{x-1}{x+1}), where (x\neq -1), what is the value of (x) for which (f(x)=2)?Class 12Relations and FunctionsFunctionsHard MathematicsHow many one-one functions can be formed from (A={1,2,3}) to (B={p,q,r,s})?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (g:\mathbb{R}\to\mathbb{R}) are given by (f(x)=x+2) and (g(x)=x^2), what is the value of ((g\circ f)(-3))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=|x|), what type of function is it?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:A\to B) is an onto function and (A) has (5) elements, what is the maximum possible number of elements in (B)?Class 12Relations and FunctionsFunctionsHard MathematicsHow many onto functions can be formed from (A={1,2,3,4}) to (B={a,b})?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (g:\mathbb{R}\to\mathbb{R}) are such that (f(x)=x^2+1) and (g(x)=3x-2), what is ((f\circ g)(x))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=2x-5), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsHard MathematicsLet (A={1,2,3}) and (B={4,5,6}). How many functions (f:A\to B) are both one-one and onto?Class 12Relations and FunctionsFunctionsHard MathematicsIf \(f:\mathbb{R}\to\mathbb{R}\) is defined by \(f(x)=\frac{x}{1+x^2}\), why is (f) not one-one?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\frac{x}{1+|x|}), what is its range?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{Z}) is defined by (f(x)=\lfloor x\rfloor), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\lfloor x\rfloor), which statement is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x+|x|), what is the range of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x+|x|), what is (f(-5))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^5-3x), what type of function is (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^4+x^2), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is an even function and (f(-6)=11), what is (f(6))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is an odd function and (f(4)=9), what is (f(-4))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) satisfies (f(x+1)=f(x)+2) and (f(0)=3), what is the value of (f(2))?Class 12Relations and FunctionsFunctionsHard