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toadytica305

  • 3 years ago

(FOG)(X) f(x)= x^2+2x and g(x)= 1/x

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  1. lgbasallote
    • 3 years ago
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    do you mean (f o g)(x)?

  2. toadytica305
    • 3 years ago
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    yes

  3. toadytica305
    • 3 years ago
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  4. lgbasallote
    • 3 years ago
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    that means you substitute g(x) into EVERY x of f(x)...so what is your g(x)?

  5. toadytica305
    • 3 years ago
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    1/x

  6. toadytica305
    • 3 years ago
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    (1/x)^2 + 2(1/x)

  7. lgbasallote
    • 3 years ago
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    that's right..simplify

  8. toadytica305
    • 3 years ago
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    1/(x^2) + 2/x ?

  9. lgbasallote
    • 3 years ago
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    good there you go...are you tasked to combine it?

  10. toadytica305
    • 3 years ago
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    nope.. Don't think so it just says "find (f o g)(x)?"

  11. lgbasallote
    • 3 years ago
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    well that's your answer then...if you want you can combine it to be safe..use x^2 as LCD \[\frac{1}{x} + \frac{2x}{x^2} = \frac{1 + 2x}{x^2}\]

  12. lgbasallote
    • 3 years ago
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    the first term is supposed to be \(\large \frac{1}{x^2}\)

  13. toadytica305
    • 3 years ago
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    Thank you!

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