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Class 11 · Mathematics

If f(x)=|x| and g(x)=x², what is the nature of (fg)(x)?

Class 11 · Mathematics

If (f(x)=\frac{2x}{x^2-4}) and (g(x)=\frac{1}{x-2}), choose the correct simplified form of ((f-g)(x)).

Class 11 · Mathematics

If (f(x)=\frac{2x}{x^2-4}) and (g(x)=\frac{1}{x-2}), what is the simplified form of ((f-g)(x))?

Class 11 · Mathematics

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

Class 11 · Mathematics

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

Class 11 · Mathematics

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

Class 11 · Mathematics

If (f(x)=x) and (g(x)=x+1), choose the correct solutions of ((f+g)(x)=(fg)(x)).

Class 11 · Mathematics

If (f(x)=x) and (g(x)=x+1), what are the real solutions of ((f+g)(x)=(fg)(x))?

Class 11 · Mathematics

If (f(x)=x^2) and (g(x)=x+1), what are the real solutions of ((f+g)(x)=(fg)(x))?

Class 11 · Mathematics

If (f(x)=2x+3) and (g(x)=x-5), what is the coefficient of (x^2) in ((fg)(x))?

Class 11 · Mathematics

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

Class 11 · Mathematics

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

Class 11 · Mathematics

If (f(x)=\frac{1}{x^2-1}) and (g(x)=x+5), what is the domain of ((f-g)(x))?

Class 11 · Mathematics

If (f(x)=3x^2-2) and (g(x)=x^2+4), what is the value of ((f+g)(-2))?

Class 11 · Mathematics

If (f(x)=x^2+1) and (g(x)=2x), which set is correct for ((f-g)(x)>0)?

Class 11 · Mathematics

If (f(x)=x^2+1) and (g(x)=2x), when is ((f-g)(x)>0) true?

Class 11 · Mathematics

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

Class 11 · Mathematics

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

Class 11 · Mathematics

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

Class 11 · Mathematics

For functions defined on the real numbers, if \(f(x)=x^2\) and \(g(x)=x\), what is the nature of \((fg)(x)=f(x)g(x)\)?