So in my linear class we are reveiwing some things befor we start working out of the book and i got this as a practice ?. Im confused on what is being asked and how to start off.(adsbygoogle = window.adsbygoogle || []).push({});

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

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Linear algebra ?

**Physics Forums | Science Articles, Homework Help, Discussion**