anonymous
  • anonymous
if f(x)=3x^2 and g(x)=4x^3+1 what is the degree of (f*g)(x)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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SolomonZelman
  • SolomonZelman
is it fºg or f•g ?
anonymous
  • anonymous
f * g
SolomonZelman
  • SolomonZelman
that is f•g, right?

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anonymous
  • anonymous
yes
SolomonZelman
  • SolomonZelman
\(\Large\color{red}{ \displaystyle f(x)=3x^2 }\) \(\Large\color{blue}{ \displaystyle g(x)=4x^3+1 }\) -------------------------------- \(\Large\color{black}{ \displaystyle \left(\color{red}{f}~\cdot~\color{blue}{g}\right)(x)=\left(\color{red}{3x^2}\right)~\cdot~\left(\color{blue}{4x^3+1}\right) }\)
SolomonZelman
  • SolomonZelman
the first term will give you the degree, you don't to know the rest of the actual function
SolomonZelman
  • SolomonZelman
what is (3x\(^2\) • 4x\(^3\)) ? that will give you x raised to what power?
anonymous
  • anonymous
12x^5
SolomonZelman
  • 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?
SolomonZelman
  • SolomonZelman
Note: Degree - [means] the biggest power.
anonymous
  • anonymous
5?
SolomonZelman
  • SolomonZelman
Yes, there you go!
SolomonZelman
  • SolomonZelman
That is it, you are done
anonymous
  • anonymous
thank you so much the colors were very helpful!!!!
SolomonZelman
  • SolomonZelman
You are welcome:)

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