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Algebra 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)=\sqrt{5-x}) and (g(x)=\sqrt{x+1}), what is the domain of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsHardMathematicsIf (f(x)=\frac{1}{x-3}) and (g(x)=\frac{1}{x+1}), what is the correct simplified form of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHardMathematicsIf (f(x)=x^2-1) and (g(x)=\sqrt{x-2}), what is the real domain of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHardMathematicsFor real functions (f(x)=\sqrt{x-1}) and (g(x)=\frac{1}{x-3}), what is the domain of the product (fg)?Class 11Relations and FunctionsAlgebra of real functionsMediumMathematicsIf (f(x)=2x-3) and (g(x)=x^2+1), what is the value of (h(2)) for (h(x)=2f(x)-g(x))?Class 11Relations and FunctionsAlgebra of real functionsMediumMathematicsIf \(f(x)=x^2\), \(g(x)=x\), and \(h(x)=1\), what is the value of \((f+2g+h)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMediumMathematicsIf \(f(x)=x^2+2x+1\) and \(g(x)=x+1\), which statement is correct for \(\left(\frac{f}{g}\right)(-1)\)?Class 11Relations and FunctionsAlgebra of real functionsMediumMathematicsIf (f(x)=\frac{x+2}{x-1}) and (g(x)=x-1), what is the simplified form of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsMediumMathematicsIf \(f(x)=x^2-1\) and \(g(x)=x-1\), what is the factorized form of \((f-g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMediumMathematicsIf (f(x)=x+1) and (g(x)=x^2+1), what is the degree of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsMediumMathematicsIf \(f(x)=x^2-5x+6\) and \(g(x)=x-3\), what is \(\left(\frac{f}{g}\right)(2)\)?Class 11Relations and FunctionsAlgebra of real functionsMediumMathematicsIf \(f(x)=2x^2\) and \(g(x)=3x^2\), what is the value of \((5f-2g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMediumMathematicsIf (f(x)=\frac{1}{x^2-1}) and (g(x)=x+2), which values are excluded from the domain of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsMediumMathematicsIf (f(x)=\sqrt{x-4}) and (g(x)=\sqrt{x+1}), what is the domain of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsMediumMathematicsIf (f(x)=x^2+1) and (g(x)=x^2-3), what is ((f-g)(5))?Class 11Relations and FunctionsAlgebra of real functionsMediumMathematicsIf (f(x)=x^2) and (g(x)=2x), what is the minimum value of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsMediumMathematicsIf \(f(x)=\frac{x}{x+2}\) and \(g(x)=\frac{3}{x-5}\), what is the domain of the product function \((fg)(x)=f(x)g(x)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeMediumMathematicsIf 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 functionsMediumMathematicsIf \(f(x)=x^2+5x+6\) and \(g(x)=x+2\), what is the simplified form of \(\left(\frac{f}{g}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsMediumMathematicsIf f(x)=x+3 and g(x)=2x−6, what is (fg)(0)?Class 11Relations and FunctionsAlgebra of real functionsMedium

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