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Relations And 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)/(x−2) and g(x)=(x−2)/(x+2), what is the simplified form of (f+g)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Hard MathematicsIf \(f(x)=x^3\) and \(g(x)=x^2\), what are the real solutions of \((f-g)(x)=0\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Hard MathematicsIf f(x)=√(4−x) and g(x)=1/√x, what is the domain of (fg)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsSuppose the real functions \(f\) and \(g\) both have domain \(\mathbb{R}\). Which condition ensures that the quotient function \(\frac{f}{g}\) also has domain \(\mathbb{R}\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Hard MathematicsIf f(x)=√(x−2) and g(x)=√(x+2), what is the domain of (f−g)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf f(x)=x² and g(x)=1/x, which equation is obtained from (f+g)(x)=2?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf f(x)=1/(x+1) and g(x)=1/(x−1), what is the simplified form of (f+g)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium 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 functionsLevel 39Medium MathematicsIf f(x)=|x−3| and g(x)=2x+1, what is the value of (f−g)(4)?Class 11Relations and FunctionsAlgebra of real functionsLevel 39Medium MathematicsIf f(x) = x² − 4 and g(x) = |x| − 2, for which values of x is (f − g) = 0?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Hard 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 functionsLevel 38Hard MathematicsIf f(x) = √(x + 3) and g(x) = √(x − 1), what is the domain of (g/f)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Hard MathematicsIf f(x) = (x + 1)/(x − 1) and g(x) = (x − 1)/(x + 1), what is (f + g)(0)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Hard MathematicsIf f(x) = x²−4x+4 and g(x) = x−2, where is (f/g) zero?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Hard MathematicsIf f(x)=x^2+1 and g(x)=x^2-1, what is the simplified form of \(\frac{f+g}{f-g}\)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Hard MathematicsIf f(x)=x^2 and g(x)=2x+1 , and (fg)(x)=f(x)g(x) , what is the value of (fg)(-2) ?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Hard MathematicsIf f(x) = x²+2x and g(x) = x²−2x, what is (f−g)(−3)?Class 11Relations and FunctionsAlgebra of real functionsLevel 38Hard MathematicsIf f(x) = (x+2)/(x−2) and g(x) = (x−2)/(x+2), what is the correct form of (f+g)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Hard MathematicsIf f(x)=2x^2-1 and g(x)=x^2+2, what is the value of (3f-2g)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Hard MathematicsIf f(x) = x/(x+1) and g(x) = 1/x, what are the simplified form and domain of (f/g)(x)?Class 11Relations and FunctionsAlgebra of real functionsLevel 37Hard