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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 \(f(x)=\frac{1}{x}\), where (x\ne 0), what is the value of (f(f(x)))?Class 12Relations and FunctionsFunctionsLevel 20Expert MathematicsIf (f:A\to B) and (g:B\to C) are both one-one, what is true about (g\circ f)?Class 12Relations and FunctionsFunctionsLevel 20Expert MathematicsIf (f(x)=x+2) and (g(x)=3x-1), what is the value of ((f\circ g)(x)-(g\circ f)(x))?Class 12Relations and FunctionsFunctionsLevel 20Expert MathematicsIf (f(x)=2x+1) and (g(x)=x^2), what is ((g\circ f)(x))?Class 12Relations and FunctionsFunctionsLevel 20Expert MathematicsIf (f:A\to B) and (g:B\to C), and (g\circ f) is onto, which conclusion is definitely true?Class 12Relations and FunctionsFunctionsLevel 19Expert MathematicsIf (f:A\to B) and (g:B\to C), and (g\circ f) is one-one, which conclusion is definitely true?Class 12Relations and FunctionsFunctionsLevel 19Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (g:\mathbb{R}\to\mathbb{R}) are (f(x)=x^2), (g(x)=x+1), what is ((f\circ g)(x)-(g\circ f)(x))?Class 12Relations and FunctionsFunctionsLevel 19Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is an odd function and (g:\mathbb{R}\to\mathbb{R}) is an even function, which statement about (g\circ f) is correct?Class 12Relations and FunctionsFunctionsLevel 19Expert MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=ax+b) and (f\circ f) is the identity function, which statement about (a,b) is correct?Class 12Relations and FunctionsFunctionsLevel 19Expert MathematicsIf (f:A\to B) and (g:B\to C) are functions and (g\circ f) is one-one, which conclusion is definitely true?Class 12Relations and FunctionsFunctionsLevel 20Hard MathematicsIf (f(x)=2x+3) and ((f\circ f)(x)=17), what is the value of (x)?Class 12Relations and FunctionsFunctionsLevel 21Hard MathematicsIf (f(x)=2x+3) and ((f\circ f)(x)=19), what is the value of (x)?Class 12Relations and FunctionsFunctionsLevel 21Hard MathematicsIf (f(x)=x^2) and (g(x)=x+2), which statement about ((f\circ g)(x)) and ((g\circ f)(x)) is correct?Class 12Relations and FunctionsFunctionsLevel 21Hard MathematicsIf (f(x)=3x-1) and (g(x)=\frac{x+1}{3}), what kind of function is (g\circ f)?Class 12Relations and FunctionsFunctionsLevel 21Hard MathematicsIf (f(x)=x+1), (g(x)=2x), and (h(x)=x^2), what is ((h\circ g\circ f)(x))?Class 12Relations and FunctionsFunctionsLevel 21Hard MathematicsIf (f(x)=\frac{1}{x}) and (g(x)=x+1), what is the domain of ((f\circ g)(x))?Class 12Relations and FunctionsFunctionsLevel 21Hard 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 FunctionsFunctionsLevel 21Hard 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 FunctionsFunctionsLevel 21Hard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=2x+3) and (g:\mathbb{R}\to\mathbb{R}) by (g(x)=\frac{x-3}{2}), which statement is correct?Class 12Relations and FunctionsFunctionsLevel 20Hard MathematicsIf \(f:\mathbb{R}\setminus{0}\to\mathbb{R}\setminus{0}\) is defined by \(f(x)=\frac{1}{x}\), what is (f\circ f)?Class 12Relations and FunctionsFunctionsLevel 20Hard