Which of the following functions is/are homogeneous? | Mathematics for Economy | SolveeIt

Which of the following functions is/are homogeneous?

$xcot^{-1}(\frac{y}{x})$

$\sqrt{\frac{x}{y} }+ \frac{3x}{y} +7$

$\frac{x^3+y^3}{ 3x+4y}$

$3x^5y+2x^2y^4-3x^3y^4$

Answer

$xcot^{-1}(\frac{y}{x})$

Explanation

The correct option is (A): $xcot^{-1}(\frac{y}{x})$ (B): $\sqrt{\frac{x}{y} }+ \frac{3x}{y} +7$ and (C): $\frac{x^3+y^3}{ 3x+4y}$

Mathematics for Economy Question on Preliminaries and functions