f(x)= 5x-1 / 2x+3  Find the inverse function, f^-1(x)=

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To find the inverse you switch y with x so you start off with:x = (5y-1) / (2y+3)    Then you solve for y.x(2y+3) = 5y-12xy+3x = 5y-1    Rearrange so that you get terms containing y on one side and the rest on the other:2xy - 5y = -1-3xy(2x-5) = -1-3x→ f^-1(x) = (-1-3x) / (2x-5)