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Composition

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}\to\mathbb{R}), (f(x)=x+4) and (g:\mathbb{R}\to\mathbb{R}), (g(x)=3x-2), what type is (g\circ f)?Class 12Relations and FunctionsOne-one functionLevel 23Hard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=2x+1) and (g:\mathbb{R}\to\mathbb{R}), (g(x)=x^2), is (g\circ f) one-one?Class 12Relations and FunctionsOne-one functionLevel 23Hard MathematicsIf (g\circ f) is one-one, which of the following statements is always true?Class 12Relations and FunctionsOne-one functionLevel 23Hard MathematicsIf (g\circ f) is one-one, which of the following conclusions is certainly true?Class 12Relations and FunctionsOne-one functionLevel 22Hard MathematicsIf (f:A\to B) and (g:B\to C) are both one-one, choose the correct statement about (g\circ f).Class 12Relations and FunctionsOne-one functionLevel 22Hard MathematicsIf (g:\mathbb{R}\to\mathbb{R}) is one-one and (f:\mathbb{R}\to\mathbb{R}), (f(x)=g(2x-3)), what is the correct statement about (f)?Class 12Relations and FunctionsOne-one functionLevel 22Hard MathematicsWhich statement is correct for (f:\mathbb{R}\to[0,\infty)), (f(x)=e^{x^2})?Class 12Relations and FunctionsOne-one functionLevel 22Hard MathematicsIf (f:\mathbb{R}\to(0,\infty)), (f(x)=e^{2x+1}), what is (f)?Class 12Relations and FunctionsOne-one functionLevel 22Hard MathematicsIf both (f) and (g) are one-one functions, what type of function is (g\circ f)?Class 12Relations and FunctionsOne-one functionLevel 22Medium MathematicsIf (f(x)=\frac{1}{x+1}), what is ((f\circ f)(x))?Class 12Relations and FunctionsFunctionsLevel 21Expert MathematicsIf (f:A\to B) is bijective, what is (f^{-1}\circ f) equal to?Class 12Relations and FunctionsFunctionsLevel 21Expert MathematicsIf (f:A\to B) and (g:B\to C) are both onto, what is (g\circ f)?Class 12Relations and FunctionsFunctionsLevel 21Expert MathematicsIf (f:A\to B) and (g:B\to C) are both one-one, what is (g\circ f)?Class 12Relations and FunctionsFunctionsLevel 21Expert MathematicsIf (f(x)=x+2) and (g(x)=x^2), which statement about (f\circ g) and (g\circ f) is correct?Class 12Relations and FunctionsFunctionsLevel 21Expert MathematicsIf (f(x)=x^2+1) and (g(x)=2x-3), what is ((g\circ f)(x))?Class 12Relations and FunctionsFunctionsLevel 21Expert MathematicsIf (g\circ f) is onto, which conclusion is always true?Class 12Relations and FunctionsFunctionsLevel 21Expert MathematicsIf (g\circ f) is one-one, which conclusion is always correct?Class 12Relations and FunctionsFunctionsLevel 21Expert MathematicsIf (f(x)=2x-3) and (g(x)=x^2+1), what is ((g\circ f)(x))?Class 12Relations and FunctionsFunctionsLevel 21Expert MathematicsIf (f(x)=|x|) and (g(x)=x-1), what is ((f\circ g)(x))?Class 12Relations and FunctionsFunctionsLevel 20Expert MathematicsIf (f(x)=x^2-1) and (g(x)=x+1), what is the value of ((f\circ g)(2))?Class 12Relations and FunctionsFunctionsLevel 20Expert