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Help with functions?

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If f(x)=x^2 what does

-f(4-x)=

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  1. Substitute the new function value in for x and reverse the sign since -f.

    -f(4-x) = -(4-x)^2 = -[16-8x+x^2] = -16+8x-x^2


  2. If f(x)=x^2 then

    - f(4-x)= - (4-x)^2= x^2 + 8x - 16

  3. If f(x)=x^2 what does

    -f(4-x)=

    DEfine  f(U) = U^2  this is just a transition of the variable

    g(U)=- f(U) = - U^2

    let U= 4-x

    (4-x)^2= 16 - 8x + x^2

    g(4-x) = -16 + 8x -x^2 = -f(4-x)
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