Problem 6: For each part below, find an equation f(x) with the stated properties, or if there are no examples, explain why not. You need not assume that f is a smooth function for this problem, but you should remark on on the continuity and differentiability of f. (a) Every real number is a fixed point. (b) There are no fixed points. (c) There are precisely 100 fixed points. (d) Every integer is a fixed point, and there are no others. (e) Every number except 0 is a fixed point. =

This might be a long question, so I'll separate it as (a), (b) and so on. If you can find the indicated composite function and its domain for the following. The equation is sent in the picture. (a) (f o g) (x) = and the domain for it. (b) (g o f) (x) = and the domain for it. (c) (f o f) (x) = and the domain for it. (d) (g o g) (x) = and the domain for it.

Please help me with question 9

4. Determine whether the following functions are one-to-one: a) f (x) = "+1 for all real numbers x + 0 b) f (x) = for all real numbers x.