Hello, can someone solve and explain part a) and b) of the following question ? and thank you

Let f(x) = 23 - 3x + 1. (a) (1 point ) Show that f(x) has a root in (0, 1) . (b) (4 points) Starting with No = 0.5, use fixed-point iteration, by construct- ing a function g(x), to find this root to 5 decimal places. You need to show why your chosen g(x) will work before you begin