Let (x) = x 7 + x + 1. (a) Show that 1 exists (but do not attempt to find it). Show that

Let ƒ(x) = x⁷ + x + 1.
(a) Show that ƒ⁻¹ exists (but do not attempt to find it). Show that ƒ is increasing.
(b) What is the domain of ƒ⁻¹?
(c) Find ƒ⁻¹(3).