Given the functions a (x) = 4x2 + 2x - 3 and b (x) = x - 1, identify the oblique asymptote of the function a of x over the function b of x?

The oblique asymptote of a function is the quotient of dividing a polynomial by another function. In this case, we divide 4x2 + 2x - 3 to x-1. Hence,

4x + 6 x-1 | 4x2 + 2x - 3 - (4x2 - 4x) 6x - 3 - (6x - 6) 3

Hence the oblique asymptote is equal to 4x + 6