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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.
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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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@phi @pooja195 @triciaal

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443041724208:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What I have so far: Original: f(x) = 4x^2 + x + 1; g(x) = x^2 – 2 Combine: (4x^2 + x + 1)^2  2

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443041770305:dw

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0no (a + b + c)^2 = (a + b + c)(a + b + c) not enough terms it might be easier to complete the square

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No, this is written.

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443042777720:dw

triciaal
 one year ago
Best ResponseYou've already chosen the best response.016x^4 + 8x^3 + 9x^2 + 2x 1

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0if 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
 one year ago
Best ResponseYou've already chosen the best response.0Wow, okay, so... ((2x)^2 + x + 1)^2  2 What's the second row?

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0do 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
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443043372882:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Could you type out the second row please?

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443043430718:dw

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0simplify this then subtract 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0((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
 one year ago
Best ResponseYou've already chosen the best response.0you did not copy exactly what I had but I think you got the general idea

triciaal
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443044761932:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Original: 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
 one year ago
Best ResponseYou've already chosen the best response.0not factor expand not expand simplify yes
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