Bonus Exercise: Consider an invertible and differentiable function f satisfying the condition that: ( x ) = gof (x) for some continuous function g. a. (6 pts) Use the fact f of 1(x) = x to find - (f-1(x)) only in terms of possibly x and g (x ) . b. (5 pts) Note that if f (x) = tan x, then f' (x) = sec? x = 1 + (tan x)?. Use your findings in the previous part to find an expression for (arctan x) in terms of only x