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Math Help - Which options gives f(7-x)

  1. #1
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    Question Which options gives f(7-x)

    I simply worked f(7-x) out and got the answer exactly described in (d). And x 19/3 and 0 ≤ x ≤ 7 seem appropriate too.

    Now I wonder if there is any tricky thing in other areas. Would any fellow please take a look when you have time.

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  2. #2
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    Quote Originally Posted by pozat View Post
    I simply worked f(7-x) out and got the answer exactly described in (d). And x 19/3 and 0 ≤ x ≤ 7 seem appropriate too.

    Now I wonder if there is any tricky thing in other areas. Would any fellow please take a look when you have time.

    (d) is the answer
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  3. #3
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    Since f(x)= \frac{-2x^2+1}{3x-2)^2}, f(7- x)= \frac{-2(7-x)^2+ 1}{3(7-x)-2)^2}= \frac{-2(49- 14x+ x^2)+ 1}{21- 3x- 2)^2} = \frac{-97+ 28x- 2x^2}{(19- 3x)^2}. That's "d".
    Last edited by HallsofIvy; December 28th 2009 at 04:21 AM.
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    Thank you for all who give me reply and make MHF such a helpful site.

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