Question: both picture go together they are all problem 10please show...

10. Let R be the set of all real numbers and f: R → R defined by f(x-x2-1 (a)What are the domain, codomain, and range of this

(b)ls f an injection? Prove it. (c)ls fa surjection? Prove it (d)Find the set of all preimages of 4 (e)Find the inverse image

both picture go together they are all problem 10...please show all work