if f(×) = [tex] \frac{1}{ \sqrt{x – 1} } [/tex] then find [tex] \frac{f(x) – f(2)}{x – 2} [/tex] ​

Question

if f(×) = [tex] \frac{1}{ \sqrt{x – 1} } [/tex]

then find [tex] \frac{f(x) – f(2)}{x – 2} [/tex]

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Eirian 1 year 2021-08-21T07:37:22+00:00 1 Answers 0 views 0

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    2021-08-21T07:39:21+00:00

    9514 1404 393

    Answer:

      (1 -x +√(x -1))/(x² -3x +2)

    Step-by-step explanation:

    Fill in the given function definition and simplify.

      [tex]\dfrac{f(x)-f(2)}{x-2}=\dfrac{\dfrac{1}{\sqrt{x-1}}-\dfrac{1}{\sqrt{2-1}}}{x-2}=\dfrac{1-\sqrt{x-1}}{(x-2)\sqrt{x-1}}\\\\=\dfrac{\sqrt{x-1}-x+1}{(x-2)(x-1)}=\boxed{\dfrac{\sqrt{x-1}-x+1}{x^2-3x+2}}[/tex]

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )