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Class 11 · Mathematics

If f(x)=x² and g(x)=2x+1, what is the value of (f+g)(1)+(fg)(1)? Here, fg denotes the product of f and g.

Class 11 · Mathematics

If (g(x)=x-1) and ((fg)(x)=x^2-1) then what is (f(x))?

Class 11 · Mathematics

If (f(x)=3x+2) and ((f+g)(x)=x^2+3x+5) then what is (g(x))?

Class 11 · Mathematics

If \(f(x)=x^2-4x+4\) and \(g(x)=x-2\) then what is the value of \(\left(\frac{f}{g}\right)(3)\)?

Class 11 · Mathematics

If (f(x)=x^2+1) and (g(x)=\frac{1}{x^2+1}) then what is the domain of ((fg)(x))?

Class 11 · Mathematics

If the real-valued functions \(f(x)=x^2-2x\) and \(g(x)=2x-x^2\) are given, what is the value of \((f+g)(x)\)?

Class 11 · Mathematics

If (f(x)=\sqrt{x+1}) and (g(x)=\sqrt{x-3}) then what is the domain of ((f-g)(x))?

Class 11 · Mathematics

If \(f(x)=x^2+3x+2\) and \(g(x)=x+1\) then what is the simplified form of \(\left(\frac{f}{g}\right)(x)\)?

Class 11 · Mathematics

If f(x) = x² − 1 and g(x) = x² + 1, then what type of function is (g − f)(x)?

Class 11 · Mathematics

If (f(x)=\frac{3x-2}{5}) and (g(x)=5x+2) then what is ((f\circ g)(x))?

Class 11 · Mathematics

If \(f(x)=2x+3\) and \(g(x)=\frac{x-3}{2}\) then what is ((f\circ g)(x))?

Class 11 · Mathematics

If f(x)=x^2 and g(x)=x+1, then what is (f∘g)(x)-(g∘f)(x)?

Class 11 · Mathematics

If \(f(x)=\sqrt{x}\) and \(g(x)=x-7\), what is the domain of \((f\circ g)(x)\)?

Class 11 · Mathematics

If (f(x)=\frac{1}{x}) and (g(x)=x^2) then what is the domain of ((f\circ g)(x))?

Class 11 · Mathematics

If (f(x)=\frac{2x+1}{3}) and (g(x)=\frac{x-4}{2}) then what is ((f-g)(x))?

Class 11 · Mathematics

If (f(x)=x^2+2x) and (g(x)=x^2-2x), what is the value of ((f-g)(x))?

Class 11 · Mathematics

If f(x)=2x-1 and g(x)=5-x, then what type of function is (f+g)(x)?

Class 11 · Mathematics

If \(f(x)=x^3\) and \(g(x)=3x\), what is the value of \((f+g)(-2)\)?

Class 11 · Mathematics

If (f(x)=\sqrt{x+4}) and (g(x)=\frac{1}{x-1}) then what will be the domain of ((fg)(x))?

Class 11 · Mathematics

If \(f(x)=x^2-9\) and \(g(x)=x+3\) then which statement is correct about \(\left(\frac{f}{g}\right)(-3)\)?