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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 \(f(x)=\sqrt{x}\) and \(g(x)=x-7\), what is the domain of \((f\circ g)(x)\)?Class 11Relations and FunctionsReal-Valued Functions, Their Domain and RangeExpert MathematicsIf (f(x)=\frac{2x+1}{3}) and (g(x)=\frac{x-4}{2}) then what is ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=\sqrt{x+4}) and (g(x)=\frac{1}{x-1}) then what will be the domain of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf \(f(x)=x^2-9\) and \(g(x)=x+3\) then which statement is correct about \(\left(\frac{f}{g}\right)(-3)\)?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=x+1), (g(x)=2x) and (h(x)=x^2) then what is the value of ((f+g)h) at (x=2)?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=x^2) and (g(x)=|x|) then what is correct about ((f\circ g)(x)) and ((g\circ f)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=|x|) and (g(x)=x) then which statement is correct for ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=\frac{x+1}{x-1}) and (g(x)=\frac{x-1}{x+1}) then what are the value and domain of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=\sqrt{x-2}) and (g(x)=\sqrt{5-x}) then what is the domain of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=\frac{1}{x-1}) and (g(x)=\frac{1}{x+1}) then what is the domain of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf \(f(x)=x^2-4\) and \(g(x)=x-2\) then what is the simplified form and restriction of \(\left(\frac{f}{g}\right)(x)\)?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 \(f(x)=x^2-1\) and \(g(x)=2x+3\), what is the correct expression for \((f+g)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsExpert MathematicsIf (f(x)=x^2-4x+4) and (g(x)=2x-5), what is the minimum value of ((f+g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\sqrt{2x-3}) and (g(x)=\sqrt{7-x}), what is the domain of (\left(\frac{f}{g}\right)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{1}{x-2}) and (g(x)=\sqrt{x+3}), what is the domain of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\sqrt{x-2}) and (g(x)=\sqrt{5-x}), what is the domain of (f+g)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf \(f(x)=\sqrt{x+2}\) and \(g(x)=\sqrt{6-x}\), what is the real domain of \(\left(\frac{f-g}{f+g}\right)(x)\)?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=\frac{1}{x-1}) and (g(x)=\frac{1}{x+1}), what is the correct form of ((f-g)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard MathematicsIf (f(x)=x^2+2) and (g(x)=2x), what is correct about the minimum value of ((fg)(x))?Class 11Relations and FunctionsAlgebra of real functionsHard