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Class 11 · Mathematics

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

Class 11 · Mathematics

If \(f(x)=x+4\) and \(g(x)=2x-1\), which equation is obtained from \((f+g)(x)=(fg)(x)\)? Here, \((fg)(x)\) denotes the product of \(f(x)\) and \(g(x)\).

Class 11 · Mathematics

If \(f(x)=x^2\) and \(g(x)=3x\), what values of \(x\) satisfy \((f-g)(x)=0\)?

Class 11 · Mathematics

If \(f(x)=5x+4\) and \(g(x)=2x-3\), what is the value of \((f-2g)(x)\)?

Class 11 · Mathematics

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

Class 11 · Mathematics

If f(x)=x^2+1 and g(x)=x-2, what is the value of (fg)(3)?

Class 11 · Mathematics

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

Class 11 · Mathematics

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

Class 11 · Mathematics

If \(f(x)=3x^2\) and \(g(x)=2x+1\), what is the value of \((f+2g)(x)\)?

Class 11 · Mathematics

If \(f(x)=x^2-9\) and \(g(x)=x-3\), what is \(\left(\frac{f}{g}\right)(x)\) for (x \ne 3)?

Class 11 · Mathematics

If \(f(x)=4x-7\) and \(g(x)=x+2\), what is the value of \((f-g)(x)\)?

Class 10 · Mathematics

If the zeroes of (p(x)=x^2-ax+b) are (a) and (b), which relation is correct?

Class 10 · Mathematics

If the difference between the two zeroes of the polynomial \(p(x)=x^2-6x+s\) is 2, what is the value of \(s\)?

Class 11 · Mathematics

If \(f(x)=x+4\) and \(g(x)=4-x\), what is the product function \((fg)(x)=f(x)g(x)\) equal to?

Class 11 · Mathematics

If \(f(x)=x^2-3x+2\) and \(g(x)=x-1\), what is \(\left(\frac{f}{g}\right)(3)\) for \(x \neq 1\)?

Class 11 · Mathematics

If (f(x)=\sqrt{x}) and (g(x)=\sqrt{x}), what are ((fg)(x)) and its domain?

Class 11 · Mathematics

If \(f(x)=\frac{x+2}{x-3}\) and \(g(x)=x-3\), what is the value of \((fg)(4)\)?

Class 11 · Mathematics

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

Class 11 · Mathematics

Which condition is necessary for a relation from set A to set B to be called a function?

Class 11 · Mathematics

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