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Algebra Of Real 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, what is the value of (fg)(3)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=\sqrt{x-2}) and (g(x)=\sqrt{5-x}), what is the domain of ((f+g)(x))?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 \(f(x)=4x-7\) and \(g(x)=x+2\), what is the value of \((f-g)(x)\)?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 \(f(x)=x^2-3x+2\) and \(g(x)=x-1\), what is \(\left(\frac{f}{g}\right)(3)\) for \(x \neq 1\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=\sqrt{x}) and (g(x)=\sqrt{x}), what are ((fg)(x)) and its domain?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 ((f-g)(5))?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=\frac{1}{\sqrt{x-1}}\) and \(g(x)=x\), what is the domain of \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x^2+6x+9\) and \(g(x)=x+3\), what is \(\left(\frac{f}{g}\right)(0)\) for \(x \neq -3\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=2x+1\) and \(g(x)=x-2\), what is the value of \((3f+2g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=\frac{x-2}{x+1}) and (g(x)=\frac{x+3}{x+1}), what is ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf f(x) = x + 1 and g(x) = x², what is the degree of the product function (fg)(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+2) and (g(x)=2x), what are the solutions of ((f-g)(x)=0)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf (f(x)=x^2) and (g(x)=x+2), what is the value of ((f+g)(x)-(fg)(x)) at (x=1)?Class 11Relations and FunctionsAlgebra of real functionsMedium MathematicsIf \(f(x)=x^2+3x+2\) and \(g(x)=x+1\), what is \(\left(\frac{f}{g}\right)(2)\) for \(x \neq -1\)?Class 11Relations and FunctionsAlgebra of real functionsMedium 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 functionsMedium