Question

if f(x)=3x^2 and g(x)=4x^3+1 what is the degree of (f*g)(x)

Answer 1

is it fºg or f•g ?

Answer 2

f * g

Answer 3

that is f•g, right?

Answer 4

yes

Answer 5

\(\Large\color{red}{ \displaystyle f(x)=3x^2 }\)
\(\Large\color{blue}{ \displaystyle g(x)=4x^3+1 }\)
--------------------------------

\(\Large\color{black}{ \displaystyle \left(\color{red}{f}~\cdot~\color{blue}{g}\right)(x)=\left(\color{red}{3x^2}\right)~\cdot~\left(\color{blue}{4x^3+1}\right) }\)

Answer 6

the first term will give you the degree, you don't to know the rest of the actual function

Answer 7

what is (3x\(^2\) • 4x\(^3\)) ?
that will give you x raised to what power?

Answer 8

12x^5

Answer 9

yes, that is x raised to the 5th power (and that will be the biggest power you will have in your new function -- is that correct?)

so what is the degree of your new function?

Answer 10

Note: Degree - [means] the biggest power.

Answer 11

5?

Answer 12

Yes, there you go!

Answer 13

That is it, you are done

Answer 14

thank you so much the colors were very helpful!!!!

Answer 15

You are welcome:)