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Product Of Functions

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

MathematicsIf \(f(x)=x^2+ax\) and \(g(x)=x^2-ax\), and their product satisfies \((fg)(1)=0\), what are the possible real values of \(a\)?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf \(f(x)=x^2-3x\) and \(g(x)=x^2+3x\), what is the value of \((fg)(x)=f(x)g(x)\)?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf f(x)=x+2 and g(x)=x-3, then what is the product of the functions, (fg)(x), equal to?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf \(f(x)=\frac{1}{x^2+1}\) and \(g(x)=x^2+1\), what is the range of the product function \((fg)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x)=√(4−x) and g(x)=1/√x, what is the domain of (fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x)=(x+1)/(x−1) and g(x)=(x−1)/(x+1), what is the correct domain of (fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x)=x²+4x+5 and g(x)=x²−4x+5, what is the value of the product function (fg)(0)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf f(x)=|x| and g(x)=x², what is the nature of (fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = 2x + 1 and g(x) = 3x − 4, what is (fg)(−1)?Class 11Relations and FunctionsAlgebra of real functionsEasy MathematicsIf f(x)=3x-2 and g(x)=x+4, what is the value of (fg)(1)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = √x and g(x) = 1/(x − 4), what is the domain of (fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf the functions \(f(x)=3\) and \(g(x)=x^2-2x\) are given, what is the product function \((fg)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x+4\) and \(g(x)=4-x\), what is the product function \((fg)(x)=f(x)g(x)\) equal to?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=\frac{x+2}{x-3}\) and \(g(x)=x-3\), what is the value of \((fg)(4)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium 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 functionsMedium MathematicsIf f(x) = 3 and g(x) = x² − 7x, what is the product function (fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x+6\) and \(g(x)=x-6\), what is the simplified form of \((fg)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium 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 functionsMedium MathematicsIf \(f(x)=x+2\) and \(g(x)=x-5\), what is the value of \((fg)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x-2\) and \(g(x)=x+2\), what is \((fg)(x)+4\) equal to?Class 11Relations and FunctionsAlgebra of real functionsMedium