👉 In mathematics, a homogenistically defined function is one that can be written as a linear combination of other functions. In other words, it's a function that can be expressed as a sum or difference of simpler functions. For example: - The function f(x) = x^2 + 3x - 5 is not homogenetically defined because the coefficients (a and b in the polynomial equation ax^2 + bx + c = 0) are not all equal. However,