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Class 11 · Mathematics

If f(x)=(x+1)/(x−1) and g(x)=(x−1)/(x+1), what is the correct domain of (fg)(x)?

Class 11 · Mathematics

If f(x)=|x−3| and g(x)=2x+1, what is the value of (f−g)(4)?

Class 11 · Mathematics

If \(f(x)=x^2-4\) and \(g(x)=x-2\), which form is correct for \(\left(\frac{f}{g}\right)(x)\)?

Class 11 · Mathematics

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

Class 11 · Mathematics

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

Class 11 · Mathematics

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

Class 11 · Mathematics

If (f(x)=\frac{x^2-1}{x+1}) and (g(x)=x-1), when can (f) and (g) be considered equal functions?

Class 11 · Mathematics

If (f(x)=x^2+px+q) and (g(x)=x^2-px+q), and (f+g=2x^2+10), what is (q)?

Class 11 · Mathematics

If f(x) = x² − 4 and g(x) = |x| − 2, for which values of x is (f − g) = 0?

Class 11 · Mathematics

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

Class 11 · Mathematics

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

Class 11 · Mathematics

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

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

Class 11 · Mathematics

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

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

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

Class 11 · Mathematics

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

Class 11 · Mathematics

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

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

Class 11 · Mathematics

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