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Katieann16

  • 3 years ago

Help me .

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  1. math>philosophy
    • 3 years ago
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    lol

  2. Katieann16
    • 3 years ago
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    if \[f(x)=x ^{2} \] and \[g(x)=x+4\] find: A) ( fog ) (x) B) (fog) (2)

  3. Katieann16
    • 3 years ago
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    @math>philosophy shut up lol

  4. math>philosophy
    • 3 years ago
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    do you know how to evaluate composite functions

  5. Katieann16
    • 3 years ago
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    no

  6. math>philosophy
    • 3 years ago
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    take the function g(x) and put it into the variable for f(x) so f(x) = (x+4)^2 right

  7. Katieann16
    • 3 years ago
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    yeah .. lol

  8. math>philosophy
    • 3 years ago
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    so just plug in whatever you want to

  9. Katieann16
    • 3 years ago
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    @jim_thompson5910

  10. Katieann16
    • 3 years ago
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    No

  11. math>philosophy
    • 3 years ago
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    yes

  12. Katieann16
    • 3 years ago
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    NO

  13. math>philosophy
    • 3 years ago
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    yes

  14. Katieann16
    • 3 years ago
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    okay .

  15. math>philosophy
    • 3 years ago
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    good

  16. Katieann16
    • 3 years ago
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    Shut up

  17. jim_thompson5910
    • 3 years ago
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    f(x)=x^2 f(g(x))=(g(x))^2 f(g(x))=(x+4)^2 (f o g)(x)=(x+4)^2

  18. jim_thompson5910
    • 3 years ago
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    optionally, you can expand (x+4)^2 to get x^2 + 8x + 16, but again, it's optional in my view

  19. jim_thompson5910
    • 3 years ago
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    to find (fog) (2), you plug x = 2 into (f o g)(x)=(x+4)^2 to get (f o g)(x)=(x+4)^2 (f o g)(2)=(2+4)^2 I'll let you finish

  20. Katieann16
    • 3 years ago
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    (fog)(2)= (6)^2

  21. jim_thompson5910
    • 3 years ago
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    keep going

  22. Katieann16
    • 3 years ago
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    (fog)(2)= 12?

  23. Katieann16
    • 3 years ago
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    36*

  24. jim_thompson5910
    • 3 years ago
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    36, yes

  25. Katieann16
    • 3 years ago
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    so the answer is fog(2)=36?

  26. jim_thompson5910
    • 3 years ago
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    yep

  27. Katieann16
    • 3 years ago
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    Thank you(:

  28. jim_thompson5910
    • 3 years ago
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    yw

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