List of top Quantitative Aptitude Questions on Functions asked in IBSAT

The functions \(f(x)\) and \(g(x)\) are related as \(f(g(x)) = xg(f(f(x)))\), where \(f(x) = \dfrac{x}{x-1}\). What could be the functional form \(g(x)\)?

If \( f(a,b) = a^2+b^2 \) and \( g(a,b) = \frac{2}{b^2}\left[a^2+b^2\right] \), then what is the value of \( f(6, 3) - g(8, 4) \)?

If $f(x,y) = 2x^2 + 3xy- 3y^2+3$ , then what is the value of f(f(3, 2), f(–2, –1))?