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Relations And Functions

Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsFor f(x) = 1/(x - 10), which value of x is not allowed?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 1Easy MathematicsIf f(x)=log(x−2) and g(x)=√(8−x), what is the domain of (fg)(x)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 39Hard MathematicsIf f(x)=(x²−1)/(x+1) and g(x)=x−1, on which domain are f and g equal?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Hard MathematicsIf f(x)=2x²+1, g(x)=x²−3, and h(x)=x²+4, what is the value of (f−g+h)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Expert MathematicsIf \(f(x)=\sqrt{x-1}\) and \(g(x)=x-5\), what is the domain of \(\left(\frac{f}{g}\right)(x)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 39Expert MathematicsIf f(x)=1/(x+1), g(x)=1/(x−1), and h(x)=f(x)+g(x), what is h(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf f(x)=x²+1 and g(x)=2x, what is the range of (f+g)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf f(x)=(x+1)/(x−3) and g(x)=x−3, what is the domain of (f/g)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Hard MathematicsIf \(f(x)=x^2-5x\) and \(g(x)=x\), what are the zeroes of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Expert MathematicsLet \(f:\mathbb{R}\to\mathbb{R}\) be an even function and \(g:\mathbb{R}\to\mathbb{R}\) be an odd function. Which statement about \(h(x)=f(g(x))\) is always true?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Expert MathematicsIf f(x)=x²+1 and g(x)=x²−3, what type of function is (f−g)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf (f(x)=3x-2) and (g(x)=kx+4), and ((f+g)(2)=18), what is the value of (k)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Expert MathematicsIf f(x)=x²−7x+12 and g(x)=x−3, what is the value of (f/g)(4)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf \(f(x)=\sqrt{x-2}\) and \(g(x)=\sqrt{10-2x}\), what is the domain of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Expert MathematicsIf \(f(x)=x^2-3x+2\) and \(g(x)=x-1\), what is the value of \(\left(\frac{f}{g}\right)(2)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Expert MathematicsIf \(f(x)=x^2+4\) and \(g(x)=4x\), for which values of \(x\) is \((f-g)(x)\ge 0\) true?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Expert MathematicsIf f(x) = x² − 5x + 6 and g(x) = x − 3, what are the simplified form and domain of f/g?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf f(x)=1/(x^2+1) and g(x)=x^2/(x^2+1), what is (f+g)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf f(x) = (x − 1)/(x + 1) and g(x) = (x + 1)/(x − 1), what is the value of (f + g)(0)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Easy MathematicsIf \(f(x)=x^2+px+1\) and \(g(x)=x^2-px+1\), what is the value of \((f-g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Expert