Name ___Answers______      Precalculus Exploration 3 Quiz    Date ____________

Do the following for each problem:

( 1) Sketch the graph.

(2) If the function is invertible, find the inverse and sketch it on the graph too.

(3) If the function is not invertible, explain why.

(4) If the function is its own inverse, show that f(f(x)) = x.

Problem 1.

[Maple Plot]

f(x) = -5*x+2

f^` -1`*`( x)` = -1/5*x+2/5

Problem 2.

[Maple Plot]

f(x) = 1/x, ` and x < 0`

f^` -1`*`( x)` = 1/x, ` and x < 0`

Problem 3.

[Maple Plot]

f(x) = (x-1)^2

f^` -1`*`( x) does not exist.`

Problem 4.

[Maple Plot]

f(x) = (5-x)^(1/2), x <= 5

f^` -1`*`( x)` = 5-x^2, 0 <= x

Problem 5.

[Maple Plot]

f(x) = x/(x-3), x <> 3

f^` -1`*`( x)` = 3*x/(x-1), x <> 1