- #1

2slowtogofast

- 135

- 1

Let P

_{5}be the set of all polynomials of degree 5 or less. Let p(x) be an element of P

_{5}with p'(x) its derivitive. define function f as follows.

f: P

_{5}[tex]\rightarrow[/tex]P

_{5}

f(p(x))=xp'(x) + 1

a. find f(5x

^{5}+4x

^{2}+3)

b. is f 1 to 1 and explain

c. is f onto and explain