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Class 11 · Mathematics · Expert

If \(f(x)=x^2+px+4\) and \(g(x)=x^2-px+4\), and \((f-g)(2)=12\), what is the value of \(p\)?

Class 11 · Mathematics · Expert

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

Class 11 · Mathematics · Expert

If (f(x)=\sin x+\cos x) and (g(x)=\sin x-\cos x), what is ((f^2-g^2)(x))?

Class 11 · Mathematics · Expert

If (f(x)=3x-2) and (g(x)=kx+4), and ((f+g)(2)=18), what is the value of (k)?

Class 11 · Mathematics · Expert

If (f(x)=x^2+2) and (g(x)=x^2+5), what is the real maximum value of (\frac{f}{g})?

Class 11 · Mathematics · Expert

If \(f(x)=x^3-2x\) and \(g(x)=x^3+2x\), which function is \(\frac{f+g}{2}\)?

Class 11 · Mathematics · Expert

If (f(x)=\frac{x-2}{x+2}) and (g(x)=\frac{x+2}{x-2}), which statement about ((f+g)(2)) is correct?

Class 11 · Mathematics · Expert

If (f(x)=x^2-8x+20) and (g(x)=5), what is the minimum value of ((f+g)(x))?

Class 11 · Mathematics · Expert

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

Class 11 · Mathematics · Expert

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

Class 11 · Mathematics · Expert

If \(f(x)=\frac{1}{x^2-16}\) and \(g(x)=x^2+1\), what is the domain of \(\left(\frac{g}{f}\right)(x)\)?

Class 11 · Mathematics · Expert

If \(f(x)=x+\frac{3}{x}\) and \(g(x)=x-\frac{3}{x}\), what is ((fg)(x))?

Class 11 · Mathematics · Expert

If \(f(x)=|x-3|\) and \(g(x)=|x+1|\), for which value of \(x\) is \((f-g)(x)=0\) true?

Class 11 · Mathematics · Expert

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

Class 11 · Mathematics · Expert

If (f(x)=x^2+6x+13) and (g(x)=2x+1), what is the minimum value of ((f-g)(x))?

Class 11 · Mathematics · Medium

If f(x)=x²−7x+12 and g(x)=x−3, what is the value of (f/g)(4)?

Class 11 · Mathematics · Expert

If (f(x)=\frac{x^2-25}{x-5}) and (g(x)=x+5), which statement about (f) and (g) is correct?

Class 11 · Mathematics · Expert

If \(f(x)=\sqrt{x-2}\) and \(g(x)=\sqrt{10-2x}\), what is the domain of \((f+g)(x)\)?

Class 11 · Mathematics · Expert

If \(f(x)=\frac{1}{x^2-9}\) and \(g(x)=x^2\), what is the domain of \(\left(\frac{g}{f}\right)(x)\)?

Class 11 · Mathematics · Expert

If (f(x)=|x-1|) and (g(x)=|x+1|), for which (x) is ((f-g)(x)=0) true?