anonymous
  • anonymous
Let f(x) = 4x^2 + x + 1 and g(x) = x^2 – 2. Find g(f(x)). Show each step of your work.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@phi @pooja195 @triciaal
anonymous
  • anonymous
PLEASE HELP
triciaal
  • triciaal
|dw:1443041724208:dw|

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More answers

anonymous
  • anonymous
What I have so far: Original: f(x) = 4x^2 + x + 1; g(x) = x^2 – 2 Combine: (4x^2 + x + 1)^2 - 2
triciaal
  • triciaal
|dw:1443041770305:dw|
anonymous
  • anonymous
16x^4 + x^2 + 1?
triciaal
  • triciaal
no (a + b + c)^2 = (a + b + c)(a + b + c) not enough terms it might be easier to complete the square
anonymous
  • anonymous
Whatever is easier
triciaal
  • triciaal
do you have choices?
anonymous
  • anonymous
No, this is written.
triciaal
  • triciaal
|dw:1443042777720:dw|
triciaal
  • triciaal
16x^4 + 8x^3 + 9x^2 + 2x -1
triciaal
  • triciaal
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
anonymous
  • anonymous
Wow, okay, so... ((2x)^2 + x + 1)^2 - 2 What's the second row?
triciaal
  • triciaal
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
triciaal
  • triciaal
|dw:1443043372882:dw|
anonymous
  • anonymous
Could you type out the second row please?
triciaal
  • triciaal
|dw:1443043430718:dw|
triciaal
  • triciaal
simplify this then subtract 2
anonymous
  • anonymous
((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?
triciaal
  • triciaal
you did not copy exactly what I had but I think you got the general idea
triciaal
  • triciaal
|dw:1443044761932:dw|
anonymous
  • anonymous
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
triciaal
  • triciaal
not factor expand not expand simplify yes

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