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anonymous

  • one year ago

Let f(x) = 4x^2 + x + 1 and g(x) = x^2 – 2. Find g(f(x)). Show each step of your work.

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  1. anonymous
    • one year ago
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    @phi @pooja195 @triciaal

  2. anonymous
    • one year ago
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    PLEASE HELP

  3. triciaal
    • one year ago
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    |dw:1443041724208:dw|

  4. anonymous
    • one year ago
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    What I have so far: Original: f(x) = 4x^2 + x + 1; g(x) = x^2 – 2 Combine: (4x^2 + x + 1)^2 - 2

  5. triciaal
    • one year ago
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    |dw:1443041770305:dw|

  6. anonymous
    • one year ago
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    16x^4 + x^2 + 1?

  7. triciaal
    • one year ago
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    no (a + b + c)^2 = (a + b + c)(a + b + c) not enough terms it might be easier to complete the square

  8. anonymous
    • one year ago
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    Whatever is easier

  9. triciaal
    • one year ago
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    do you have choices?

  10. anonymous
    • one year ago
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    No, this is written.

  11. triciaal
    • one year ago
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    |dw:1443042777720:dw|

  12. triciaal
    • one year ago
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    16x^4 + 8x^3 + 9x^2 + 2x -1

  13. triciaal
    • one year ago
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    if might be enough to show the substitution and get the right expression for g(f(x)) or to get the above with the expansion

  14. anonymous
    • one year ago
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    Wow, okay, so... ((2x)^2 + x + 1)^2 - 2 What's the second row?

  15. triciaal
    • one year ago
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    do you know how to use the distributive property? some people use FOIL to remember but that is with 2 terms here we have 3 terms inside you need to multiply each term

  16. triciaal
    • one year ago
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    |dw:1443043372882:dw|

  17. anonymous
    • one year ago
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    Could you type out the second row please?

  18. triciaal
    • one year ago
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    |dw:1443043430718:dw|

  19. triciaal
    • one year ago
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    simplify this then subtract 2

  20. anonymous
    • one year ago
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    ((2x)^2 + x + 1)^2 - 2 2x^4 + 2(2x)^2 + 8x^2 + (x+1) + (x+1)^2 - 2 16x^4 + 8x^3 + 9x^2 + 2x -1 Is that what you drew?

  21. triciaal
    • one year ago
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    you did not copy exactly what I had but I think you got the general idea

  22. triciaal
    • one year ago
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    |dw:1443044761932:dw|

  23. anonymous
    • one year ago
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    Original: f(x) = 4x^2 + x + 1; g(x) = x^2 – 2 Combine: (4x^2 + x + 1)^2 - 2 Factor: (4x^2 + x + 1) (4x^2 + x + 1) - 2 Expand: 16x^4 + 4x^3 + 9x^2 + 4x^3 + x^2 + x + 1 - 2 Solve: 16x^4 + 8x^3 + 9x^2 + 2x -1

  24. triciaal
    • one year ago
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    not factor expand not expand simplify yes

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