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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)=\frac{2x-3}{x+4}), why is (x=-4) excluded from the domain?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+2x+2), what is the range of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:A\to B), (A={1,2}), and (B={3,4,5}), how many onto functions exist from (A) to (B)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=x+1), (g(x)=2x), and (h(x)=x^2), what is ((h\circ g\circ f)(x))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:[0,\infty)\to[0,\infty)) and (f(x)=x^2), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to[0,\infty)) and (f(x)=x^2), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\frac{x+2}{x-2}), what is (f^{-1}(x))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^5+x^3+x), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\frac{1}{x}) and (g(x)=x+1), what is the domain of ((f\circ g)(x))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=ax+b) is one-one, which condition on (a) is necessary?Class 12Relations and FunctionsFunctionsHard MathematicsIf (A) has (m) elements and (B) has (n) elements, what is the total number of functions from (A) to (B)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\sqrt{x-3}), what is the real domain of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x^3-1), what is the value of (f^{-1}(7))?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=5), which statement about (f) is correct?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=\frac{3x+2}{x-1}), what is the domain of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:A\to A), where (A={1,2,3}), is a constant function, how many such functions are possible?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2), why is (f) not one-one?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f(x)=x^2-4x+7), what is the minimum value of (f)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:A\to B) is one-one and (A) has (6) elements, what is the minimum number of elements required in (B)?Class 12Relations and FunctionsFunctionsHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=4x+7), what is the value of (f^{-1}(f(10)))?Class 12Relations and FunctionsFunctionsHard