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

1. SolomonZelman

is it fºg or f•g ?

2. anonymous

f * g

3. SolomonZelman

that is f•g, right?

4. anonymous

yes

5. SolomonZelman

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

6. SolomonZelman

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

7. SolomonZelman

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

8. anonymous

12x^5

9. SolomonZelman

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?

10. SolomonZelman

Note: Degree - [means] the biggest power.

11. anonymous

5?

12. SolomonZelman

Yes, there you go!

13. SolomonZelman

That is it, you are done

14. anonymous

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

15. SolomonZelman

You are welcome:)