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Class 11 · Mathematics · Medium

If \(f(x)=x-1\) and \(g(x)=x+1\), which is the correct pair for \((f+g)(x)\) and \((f-g)(x)\), respectively?

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Class 11 · Mathematics · Medium

If (f(x)=\sqrt{x-4}) and (g(x)=\sqrt{x+1}), what is the domain of ((fg)(x))?

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Class 11 · Mathematics · Medium

If (f(x)=x^2+1) and (g(x)=x^2-3), what is ((f-g)(5))?

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Class 11 · Mathematics · Medium

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

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Class 11 · Mathematics · Medium

If \(f(x)=\frac{x}{x+2}\) and \(g(x)=\frac{3}{x-5}\), what is the domain of the product function \((fg)(x)=f(x)g(x)\)?

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Class 11 · Mathematics · Medium

If f(x)=x²−4x+4 and g(x)=x−2, what is the value of (fg)(x) at x=2?

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Class 11 · Mathematics · Medium

If \\(f(x)=2x+1\\) and \\(g(x)=x-4\\), what is the value of \\(x\\) when \\( (f+g)(x)=0 \\)?

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Class 11 · Mathematics · Medium

If \(f(x)=x^2+5x+6\) and \(g(x)=x+2\), what is the simplified form of \(\left(\frac{f}{g}\right)(x)\)?

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Class 11 · Mathematics · Medium

If f(x)=x+3 and g(x)=2x−6, what is (fg)(0)?

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Class 11 · Mathematics · Medium

If \(f(x)=x^3\) and \(g(x)=x\), what is the factorized form of \((f-g)(x)\)?

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Class 11 · Mathematics · Medium

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

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Class 11 · Mathematics · Medium

If (f(x)=x^2+2) and (g(x)=4x), how can ((f+g)(x)) be written in complete square form?

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Class 11 · Mathematics · Medium

If (f(x)=\sqrt{x}) and (g(x)=x-2), what is the domain of ((fg)(x))?

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Class 11 · Mathematics · Medium

If \(f(x)=x+2\) and \(g(x)=x^2+4x+4\), what is \(\left(\frac{g}{f}\right)(x)\)?

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Class 11 · Mathematics · Medium

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

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Class 11 · Mathematics · Medium

If (f(x)=2x-7) and (g(x)=x+5), what is the value of ((f+g)(3))?

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Class 11 · Mathematics · Medium

If \(f(x)=x^2\) and \(g(x)=x+1\), what is the value of \((f-g)(0)\)?

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Class 11 · Mathematics · Medium

If (f(x)=\frac{2}{x+3}) and (g(x)=\frac{1}{x-1}), what is the domain of ((f+g)(x))?

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Class 11 · Mathematics · Medium

If f(x)=x−4 and g(x)=x²+2x, what is (g+f)(x)?

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Class 11 · Mathematics · Easy

If f(x) = x² + 3 and g(x) = 2x, what is (fg)(1)?

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