Question

Determine whether the function is homogeneous, and if it is, determine its degree.

Answer 1

Step 1 :

A function f  is called homogeneous of degree n  if it satisfies the equation for all t, where n  is a positive integer.

Step 2 :

The function is .

Substitute  in above equation.

Substitute in above equation.

Since , the function is a homogeneous function of degree 3.

Solution :

The function is a homogeneous function of degree 3.