Inverse Functions

Michigan State University - Diagnostic Exam

If $f(x ) = 3x - 1$ then the inverse function is given by the formula $-1 f (x) =$ (?).
a) $- x ----- 1 3$ b) $x --- 1 3$ c) $1 -(x + 1) 3$ d) $- 1 --- (x - 1 ) 3$ e) $1 ------- 3x - 1$

Solution:

Solving the equation $y = 3x - 1$ for x we see that $y-+-1- -1 1- x = 3 ⇒ f (x) = 3 (x + 1)$ .

Diagnostic:

If you miss this question please review inverse functions.

July 15, 2008