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lavalava Group Title

use the function to answer the question: x+14 if x<-7 f(x) 21 if -7 ≤x<-6 x^2 -1 if x ≥ -6 what is the value of f(-6)?

  • 2 years ago
  • 2 years ago

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  1. Eyad Group Title
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    Since u want to find F(x) at x=-6 , U will use the Function F(x)= x^2-1 because x is bigger or **Equal** -6 Plug -6 in the equation so it will be F(-6)=(-6)^2-1=.....

    • 2 years ago
  2. lavalava Group Title
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    35?

    • 2 years ago
  3. hartnn Group Title
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    yup,35

    • 2 years ago
  4. Eyad Group Title
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    Bingo!

    • 2 years ago
  5. lavalava Group Title
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    what about f(x)=x^2-4; g(x)=x+2 which is equal to (f+g)(x)

    • 2 years ago
  6. Eyad Group Title
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    U mean Find F(F(x)+g(x)) ?

    • 2 years ago
  7. lavalava Group Title
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    no its f(x)+g(x) im not to sure but i think that might be it

    • 2 years ago
  8. hartnn Group Title
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    then just add them x^2-4+x+2 = ?

    • 2 years ago
  9. lavalava Group Title
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    x^2+x-2?

    • 2 years ago
  10. hartnn Group Title
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    yup

    • 2 years ago
  11. lavalava Group Title
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    okay so what is f(x)=4x-1 g(x)=5x^2 which is equal to (fºg)(x)?

    • 2 years ago
  12. hartnn Group Title
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    for (fog)(x) , replace 'x' in f(x) by g(x) = 5x^2

    • 2 years ago
  13. lavalava Group Title
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    so then : 4(5x^2)-1

    • 2 years ago
  14. hartnn Group Title
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    yup, that will be 20x^2-1

    • 2 years ago
  15. lavalava Group Title
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    and then what is f(x)=4x-7 g(x)=x+3 what is the function of (gºf)(4)

    • 2 years ago
  16. lavalava Group Title
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    is it 12?

    • 2 years ago
  17. hartnn Group Title
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    to get (gof)(x) replace 'x' in g(x) by f(x) and then put x=4

    • 2 years ago
  18. hartnn Group Title
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    yup, its 12

    • 2 years ago
  19. lavalava Group Title
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    what is f(x)=5x-10 what is the value of f^-1 (-3)

    • 2 years ago
  20. hartnn Group Title
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    http://openstudy.com/study#/updates/50615c4ce4b02e139411444b

    • 2 years ago
  21. hartnn Group Title
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    so got that, its 1.4

    • 2 years ago
  22. lavalava Group Title
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    yea

    • 2 years ago
  23. hartnn Group Title
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    any more questions to come ?

    • 2 years ago
  24. lavalava Group Title
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    yea

    • 2 years ago
  25. lavalava Group Title
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    what is the vertex of the graph of f(x)=-2|x-5|+3

    • 2 years ago
  26. lavalava Group Title
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    i think its -5, 3

    • 2 years ago
  27. Eyad Group Title
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    +5,3

    • 2 years ago
  28. hartnn Group Title
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    nopes, (5,3) vertex for f(x) = p|x+a|+b is -a,b

    • 2 years ago
  29. lavalava Group Title
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    ohhh okay

    • 2 years ago
  30. lavalava Group Title
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    the graph of g(x) results when the graph of f(x)=-|x| is shifted 3 units to the left. i think it's g(x)=-|x+3|

    • 2 years ago
  31. lavalava Group Title
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    what is the value of f(-4) when f(x)= -10 if x< -5 x^3 if -5≤x≤2 2x+4 if x>2

    • 2 years ago
  32. hartnn Group Title
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    in which range does -4 lie ?

    • 2 years ago
  33. lavalava Group Title
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    the middle one and the last one

    • 2 years ago
  34. hartnn Group Title
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    not the last one, x>2 means x cannot be -4 so only middle one. put x= -4 in middle function, what do u get ?

    • 2 years ago
  35. lavalava Group Title
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    -64

    • 2 years ago
  36. hartnn Group Title
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    thats your answer :)

    • 2 years ago
  37. lavalava Group Title
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    okay now this one is kinda confusing to me but i think i know the answer....

    • 2 years ago
  38. lavalava Group Title
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    i think it is the third one, but im not too sure....

    • 2 years ago
  39. hartnn Group Title
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    nopes, its 4th. put these values, x=0,0.5,1,1.5,..., find g(x) u will get it

    • 2 years ago
  40. lavalava Group Title
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    ohhhh i get it!!! its soo confusing sometimes!

    • 2 years ago
  41. lavalava Group Title
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    f(x)=2x+5 g(x)=3x^2 which is equal to (fºg)(x)? i tried it and i got 3x^2+2x+5 but i think it's wrong....

    • 2 years ago
  42. hartnn Group Title
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    put x= 3x^2 in f(x) 2(3x^2)+5 = ?

    • 2 years ago
  43. lavalava Group Title
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    6x^2+5?

    • 2 years ago
  44. hartnn Group Title
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    yup.

    • 2 years ago
  45. lavalava Group Title
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    omg you make it easier to understand hahaha

    • 2 years ago
  46. hartnn Group Title
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    more questions ? i need to go...

    • 2 years ago
  47. lavalava Group Title
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    yea one last one f(x)=2/x g(x)=|x|-1 what is the domain of (fºg)(x)

    • 2 years ago
  48. hartnn Group Title
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    fog (x) = ?

    • 2 years ago
  49. lavalava Group Title
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    x|x=real numbers x|x ≠0 x|x≠0, x≠1 x|x≠-1, x≠1

    • 2 years ago
  50. hartnn Group Title
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    f(g(x)) = 2/(|x|-1) ok? for which values is denominator = 0 ??

    • 2 years ago
  51. lavalava Group Title
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    no the ones i put up last were the options

    • 2 years ago
  52. hartnn Group Title
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    i know. denominator should not be 0 |x|-1 should not be 0 for x=1, |1|-1=1-1=0 for x=-1, |-1|-1=1-1=0 so x|x≠-1, x≠1 got it ?

    • 2 years ago
  53. lavalava Group Title
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    ohh okay yea! thank you! you make it easier to understand ty very much

    • 2 years ago
  54. hartnn Group Title
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    welcome :)

    • 2 years ago
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