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anonymous

  • one year ago

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

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  1. SolomonZelman
    • one year ago
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    is it fºg or f•g ?

  2. anonymous
    • one year ago
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    f * g

  3. SolomonZelman
    • one year ago
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    that is f•g, right?

  4. anonymous
    • one year ago
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    yes

  5. SolomonZelman
    • one year ago
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    \(\Large\color{red}{ \displaystyle f(x)=3x^2 }\) \(\Large\color{blue}{ \displaystyle g(x)=4x^3+1 }\) -------------------------------- \(\Large\color{black}{ \displaystyle \left(\color{red}{f}~\cdot~\color{blue}{g}\right)(x)=\left(\color{red}{3x^2}\right)~\cdot~\left(\color{blue}{4x^3+1}\right) }\)

  6. SolomonZelman
    • one year ago
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    the first term will give you the degree, you don't to know the rest of the actual function

  7. SolomonZelman
    • one year ago
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    what is (3x\(^2\) • 4x\(^3\)) ? that will give you x raised to what power?

  8. anonymous
    • one year ago
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    12x^5

  9. SolomonZelman
    • one year ago
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    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
    • one year ago
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    Note: Degree - [means] the biggest power.

  11. anonymous
    • one year ago
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    5?

  12. SolomonZelman
    • one year ago
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    Yes, there you go!

  13. SolomonZelman
    • one year ago
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    That is it, you are done

  14. anonymous
    • one year ago
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    thank you so much the colors were very helpful!!!!

  15. SolomonZelman
    • one year ago
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    You are welcome:)

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