Given the function, ƒ (x) = (1/x+1) - 5, choose the correct transformation.

If we are to transform this to the inverse function, first we replace f (x) with y,

y = (1/x+1) - 5

Then, we replace all the y's with x and all the x's with y. Such that,

x = (1/y+1) - 5

Then, we solve for the value of y in terms of x in our newly generated equation.

x + 5 = 1/y+1

(x + 5) (y + 1) = 1

y + 1 = 1 / (x + 5)

y = 1 / (x + 5) - 1

So, the inverse function,

y = f⁻¹ (x) = 1 / (x + 5) - 1