If f (x) = 3x-1/4x+2 find f (x-1 / x+2)

The value of this new equation would be (2x - 5) / 6x.

Step-by-step explanation:

In order to find the value of this equation, we need to take the original equation and replace every x with (x - 1/x+2).

f (x) = 3x - 1/4x + 2

f (x) = [3 (x - 1/x+2) - 1]/[4 (x - 1/x+2) + 2]

f (x) = [ (3x - 3/x + 2) - (x + 2/x + 2) ]/[ (4x - 4/x + 2) + (2x + 4/x + 2) ]

f (x) = (2x - 5/x+2) / (6x/x + 2)

f (x) = (2x - 5) / 6x