We want to use the idea from the Math Note to write the inverse function of $y = \cos\left(x^{2} + 2^{x}\right)$.

1. Express both $x$ and $y$ as functions of t when $y = \cos\left(x^{2} + 2^{x}\right)$.

   Hint (a):

   Let $x = t$, then $y =$ ?

2. Find the two parametric equations to express the inverse function.

   Hint (b):

   Just interchange x and y in your parametric equations.