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Algebra Of Functions

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

MathematicsIf \(f(x)=x^2-5x+6\) and \(g(x)=x-2\), what is \(\left(\frac{f}{g}\right)(x)\) for \(x\ne2\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=2x+5\) and \(g(x)=5-2x\), what is the value of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = x³ and g(x) = x, which of the following is equal to (f − g)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=2x^2+x\) and \(g(x)=x^2-x\), what is \((2f-g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=2x\), \(g(x)=x+3\), and \(h(x)=x-1\), what is \((f+g-h)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=2x+1\) and \(g(x)=x^2-1\), what is the value of \((f+g)(2)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = x² + 2x and g(x) = x² − 2x, what is the value of (f − g)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = |x| and g(x) = x, what is the value of (f + g)(-4)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = 2x² − 3 and g(x) = x² + 5, what is the value of (f − g)(x)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x+4\) and \(g(x)=2x-1\), which equation is obtained from \((f+g)(x)=(fg)(x)\)? Here, \((fg)(x)\) denotes the product of \(f(x)\) and \(g(x)\).Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x^2\) and \(g(x)=3x\), what values of \(x\) satisfy \((f-g)(x)=0\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=5x+4\) and \(g(x)=2x-3\), what is the value of \((f-2g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=2x-1\) and \(g(x)=x^2\), what is the value of \((f+g)(-2)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x)=x^2+1 and g(x)=x-2, what is the value of (fg)(3)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=3x^2\) and \(g(x)=2x+1\), what is the value of \((f+2g)(x)\)?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 \(f(x)=x^2+x+1\) and \(g(x)=x^2-x+1\), what is \((f-g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium 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 functionsMedium MathematicsIf \(f(x)=x^2\) and \(g(x)=2x\), what is the value of \((f+g)(a)\)?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