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Class 11 · Mathematics · Hard
→If (f(x)=\frac{x+2}{x}) and (g(x)=\frac{x-2}{x}), what is ((f^2-g^2)(x))?
Class 11 · Mathematics · Hard
→If \(f(x)=x^2\), \(g(x)=2x\), and \(h(x)=1\), what is the simplified form of the combined function \((f-g+h)(x)\)?
Class 11 · Mathematics · Hard
→If (f(x)=\sqrt{x-2}) and (g(x)=x-5), what is the domain of (\frac{f}{g})?
Class 11 · Mathematics · Hard
→If \(f(x)=x^2-5x+6\) and \(g(x)=x-2\), for which value of \(x\) is \(\left(\frac{f}{g}\right)(x)=0\)?
Class 11 · Mathematics · Hard
→If f(x)=x²+4x+5 and g(x)=x²−4x+5, what is the value of the product function (fg)(0)?
Class 11 · Mathematics · Hard
→If (f(x)=x+\frac{1}{x}) and (g(x)=x-\frac{1}{x}), what is ((f^2-g^2)(x))?
Class 11 · Mathematics · Hard
→If (f(x)=\frac{1}{x-1}) and (g(x)=\frac{1}{x+1}), what is ((f+g)(x))?
Class 11 · Mathematics · Hard
→If (f(x)=\frac{1}{x^2+1}) and (g(x)=x^2+1), on which domain is (fg) the constant function (1)?
Class 11 · Mathematics · Hard
→If (f(x)=x^2-1) and (g(x)=x^2+1), what is the domain of (\frac{f}{g})?
Class 11 · Mathematics · Hard
→If \(f(x)=x^2+2x+2\) and \(g(x)=x+1\), what is the minimum value of ((f-g)(x))?
Class 11 · Mathematics · Hard
→If (f(x)=x^2+1) and (g(x)=2x), what is the minimum value of ((f-g)(x))?
Class 11 · Mathematics · Hard
→If (f(x)=\frac{x^2-9}{x-3}) and (g(x)=x+3), on what domain is (f-g) the zero function?
Class 11 · Mathematics · Hard
→If (f(x)=\sqrt{x^2-4}) and (g(x)=\frac{1}{x-5}), what is the domain of (f+g)?
Class 11 · Mathematics · Hard
→If (f(x)=x^2) and (g(x)=\frac{1}{x}), what is the solution set of ((fg)(x)=x)?
Class 11 · Mathematics · Hard
→If (f(x)=\frac{1}{x}) and (g(x)=x^2), how many real solutions does ((f+g)(x)=2) have?
Class 11 · Mathematics · Hard
→If (f(x)=\frac{x}{x-1}) and (g(x)=\frac{x}{x+1}), what is ((f-g)(x))?
Class 11 · Mathematics · Hard
→If \(f(x)=x^2-2x\) and \(g(x)=3x-1\), what is the value of \((2f-3g)(x)\)?
Class 11 · Mathematics · Hard
→If \(f(x)=x+1\), \(g(x)=x-1\), and \((af+bg)(x)=5x+1\), what is the value of \(a+b\)?
Class 11 · Mathematics · Hard
→If (f(x)=x^2+kx+1) and (g(x)=x^2-kx+1), and (f-g=6x), what is (k)?
Class 11 · Mathematics · Hard
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