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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।

MathematicsIf f(x) = 2x + 5 and g(x) = ax − 1, and (f + g)(2) = 10, what is the value of a?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Easy MathematicsIf f(x) = √(x + 2) and g(x) = 1/(x − 1), what is the domain of (fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf \(f(x)=x^2+1\) and \(g(x)=2x-3\), what is \((3f-2g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Expert MathematicsIf f(x)=x^2+4x+5 and g(x)=x+2, what is the domain of (f/g)(x)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 37Easy MathematicsIf f(x)=x^2-1 and g(x)=2x, what is the minimum value of (f+g)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Medium MathematicsIf \(f(x)=x^2+x\) and \(g(x)=x^2-x\), what is the range of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Expert MathematicsIf f(x)=√(4-x^2) and g(x)=x+1, what is the domain of (fg)(x)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 37Medium MathematicsIf the real-valued functions \(f(x)=x^2-2x\) and \(g(x)=2x-x^2\) are given, what is the value of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Expert MathematicsIf f(x)=x^2 and g(x)=x+1, then what is (f∘g)(x)-(g∘f)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Hard MathematicsIf (f(x)=x^2+2x) and (g(x)=x^2-2x), what is the value of ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Expert MathematicsIf f(x)=2x-1 and g(x)=5-x, then what type of function is (f+g)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Medium MathematicsIf \(f(x)=x^3\) and \(g(x)=3x\), what is the value of \((f+g)(-2)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Expert MathematicsIf (f(x)=3x-5) and (g(x)=x^2+4), what is ((g-f)(x))?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Expert MathematicsIf f(x)=√(x+4) and g(x)=1/(x-1), what is the domain of (f+g)(x)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 39Medium MathematicsIf f(x)=x^2+2x+2 and g(x)=x+1, what is the domain of (f/g)(x)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeLevel 39Medium MathematicsIf f(x)=3x+2 and g(x)=x-4, what is x for (f+g)(x)=0?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Easy MathematicsIf f(x)=2x^2-1 and g(x)=x^2+3, when is (f-g)(x)>0?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf f(x)=x²+px+4 and g(x)=2x+1, and the minimum value of (f+g)(x) is 0, what is p?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Hard MathematicsIf \(f(x)=\sqrt{x-1}\) and \(g(x)=x-3\), what is the domain of the quotient function \(\left(\frac{g}{f}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Hard MathematicsIf \(f(x)=\frac{x-1}{x+1}\) and \(g(x)=\frac{x+1}{x-1}\), what is the simplified form of \((f-g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Hard