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airyana1114

  • one year ago

Let f(x) = 3x^2-x+2 and g(x) = 5x^2-1. Find f(g(x)). Show each step of your work.

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  1. BIue
    • one year ago
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    Show me what you think is the answer.

  2. airyana1114
    • one year ago
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    I know how to set it up to solve it, and if it were a regular equation without variables like "7(3x+10)" I know I would have to distribute the 7 but when I set up my problem I'm not sure how I would distribute, or what the first step would be. @BIue

  3. airyana1114
    • one year ago
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    So if I set it up it would look like (3x^2-x+2)(5x^2-1). If I distribute like regular I would get 15x^4-3x^2-5x^3+x+10x^2-2. Then I would simplify, correct? @BIue

  4. airyana1114
    • one year ago
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    Then after I simplify that, I got 15x^4-5x^3+7x^2+x-2. Would that be my final answer? @BIue

  5. triciaal
    • one year ago
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    what you are setting up would be correct to find f* g but this question is different .

  6. triciaal
    • one year ago
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    f(g(x)) means use g(x) as your x in the f(x)

  7. triciaal
    • one year ago
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    |dw:1442857698307:dw|

  8. triciaal
    • one year ago
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    after you set it up you will use the distributive property, like in your example, to simplify

  9. airyana1114
    • one year ago
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    Where did "h" come from? @triciaal

  10. triciaal
    • one year ago
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    just to show you the substitution

  11. airyana1114
    • one year ago
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    Ohhhhh, I get what you're saying now. Thank you so much!

  12. triciaal
    • one year ago
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    |dw:1442860209321:dw|

  13. triciaal
    • one year ago
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    great you are welcome

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