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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 \(f(x)=x^2-1\) and \(g(x)=x^2+1\), what is the range of \((g-f)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsLet \(f:A\to B\) and \(g:B\to C\). Which composite function is obtained by applying \(f\) first and then \(g\) to each element of \(A\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf the real-valued function \(f(x)=x-2\), what is \((ff)(x)\) when \((ff)\) denotes the product of the functions?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf f(x)=x²+1, what is the value of (f+f)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf (f(x)=3 and (g(x)=x^2-7x, what is the value of the product function ((fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf \(f(x)=2x+3\), \(g(x)=x-4\), and \(h(x)=x^2\), what is the value of \((f+g-h)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf (f(x)=x^2-4) and (g(x)=x^2+4), what is the difference function ((g-f)(x))?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf \(f(x)=x^3\) and \(g(x)=2x^3-1\), what is the value of \((2f-g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf \(f(x)=x+6\) and \(g(x)=x-6\), what is the simplified form of \((fg)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf \(f(x)=x^2-1\) and \(g(x)=2x+1\), and \((fg)(x)=f(x)g(x)\), find the value of \((fg)(2)\).Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf f(x) = x^2 + 2x and g(x) = x^2 - 2x, what is (f + g)(3)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Easy MathematicsIf \(f(x)=2x^2\) and \(g(x)=x+1\), what is the value of \((f-g)(-2)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf \(f(x)=x+2\) and \(g(x)=x-5\), what is the value of \((fg)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf f(x) = 3x + 5 and g(x) = x² − 4, find (g − f)(x).Class 11Relations and FunctionsAlgebra of real functionsLevel 37Easy MathematicsIf \(f(x)=x^2+1\) and \(g(x)=2x-3\), what is \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Medium MathematicsIf \(f(x)=x-2\) and \(g(x)=x+2\), what is \((fg)(x)+4\) equal to?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Medium MathematicsIf \(f(x)=x-1\) and \(g(x)=x+1\), which is the correct pair for \((f+g)(x)\) and \((f-g)(x)\), respectively?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Medium MathematicsIf f(x)=x²−4x+4 and g(x)=x−2, what is the value of (fg)(x) at x=2?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Medium MathematicsIf \\(f(x)=2x+1\\) and \\(g(x)=x-4\\), what is the value of \\(x\\) when \\( (f+g)(x)=0 \\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Medium MathematicsIf f(x)=x+3 and g(x)=2x−6, what is (fg)(0)?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Medium