Michigan State University - Diagnostic Exam

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3.17

  •   Which of the following is the inverse of y = log3(x + 1) ?


    a)  ----1------ y = log3(x + 1) b)  y = log (x+1)3 c)  x y = 3 - 1
       
    d)  y = x3 - 1 e)  y = log(1∕3)(x + 1)

Solution:

y=log(x + 1) ⇒ x + 1 = 3y ⇒ x = 3y - 1 ⇒ 3

y = 3x - 1

Diagnostic:

See 3.14: Inverse Functions .

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July 15, 2008