Michigan State University - Diagnostic Exam

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5.20

  •   Let 2 g(x) = 3x - 5x + 2 . Find and simplify g(x +-h) --g(x)- h .

    a) 1 b) 6x - 5 c) 6x---5h-+-3- h
       
    d) 3x - 5 e) 6x + 3h - 5

Solution:

g-(x-+-h-) --g-(x-) 3(x +-h)2 --5-(x-+-h-) +-2---(3x2---5x-+-2-) h = h 3x2 + 6xh + 3h2 - 5x - 5h + 2 - 3x2 + 5x - 2 = ---------------------------------------------- h 6xh---5h-+-3h2- = h h(6x - 5 + 3h) = --------------- h = 6x - 5 + 3h

Diagnostic:

See 3.1: Functions .

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July 15, 2008