#3. Please help, show your work!

3. A real number x is said to be a fixed point of a function f if f(x) = x. (a) Show x = 2 is a fixed point of f(x) = - and find all the other fixed points of f. (b) Fill in the reasoning for the statements below which proves the following FIXED POINT THEOREM: IF f is continuous on [a, b], f(a) > a, AND f(b) 0 and g(b) 0 and f(1)