Rewrite the following rational function in transformation form. g(x) = 4x+1 / 2x-4

Answer 1

Divide 2x -4 into 4x + 1:

So the answer is 2 with 9 remainder and we can write the remainder as 9/(2x-4)

So the result is 2 + 9/(2x-4) or 2 + 9/(2(x-2)) = 4.5/(x-2) + 2

g(x) = 4.5/(x - 2) + 2