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Katieann16

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  • one year ago
  • one year ago

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  1. mew55
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    in?

    • one year ago
  2. Katieann16
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    if f(x)= 1/x & g(x)= 2x, Which of the following statement is true? A)(fog)(1)=2 B)(fog)(0)=3 C)(fog)(2)=1/4 D)(gof)(-2)=7

    • one year ago
  3. Dido525
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    |dw:1355111236995:dw|

    • one year ago
  4. Dido525
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    |dw:1355111283159:dw|

    • one year ago
  5. Dido525
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    |dw:1355111302670:dw|

    • one year ago
  6. Katieann16
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    ....

    • one year ago
  7. Dido525
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    Sorry.

    • one year ago
  8. Dido525
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    f o g means f(g(x)) in other words it's saying f of some value x of g(x) .

    • one year ago
  9. jonnyrules96
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    just put it g(x) as x into f(x)

    • one year ago
  10. Dido525
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    |dw:1355111495183:dw|

    • one year ago
  11. Dido525
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    That's an example.

    • one year ago
  12. Dido525
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    Basically you substitute in one function inside of the other.

    • one year ago
  13. jonnyrules96
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    now just apply same concept to your question

    • one year ago
  14. Dido525
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    fog means f(g(x)) meaning you substitute g(x) wherever there is an x.

    • one year ago
  15. Dido525
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    similarly gof means g(f(x)) so substitute f(x) anywhere there is an x at.

    • one year ago
  16. Dido525
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    So we are given, |dw:1355111651185:dw|

    • one year ago
  17. Dido525
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    Do you understand? @Katieann16

    • one year ago
  18. zordoloom
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    |dw:1355111885222:dw|

    • one year ago
  19. zepdrix
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    These guys have given you a good explanation as of how to get to the answer, but just in case you're still confused about what (f o g)(x) should look like, here you go. \[\large f(x)=\frac{1}{x}, \qquad g(x)=2x\]\[\large f(g(x))\quad = \quad f(2x) \quad = \quad \frac{1}{2x}\]

    • one year ago
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