Calculus I
Quiz # 7
November 10, 2003
Name____________________
Score ______
R.  Hammack 



(1) Find the inverse of the function f(x) = 3x^3 - 4.

 

 

 

 




(2) Consider a one-to-one differentiable function f(x) which satisfies the following table.    x 1 2 3 4 5 f(x) 0 3 6 8 9 f ' (x) 1 5 3 3 2
(a) f^(-1)(3) =

 




(b) If g(x) = f^(-1)(x) + 8, find g ' (3).

 





(3)  Simplify the following expressions as much as possible.

(a)   log(100^(1/3)) =

(b)   FormBox[RowBox[{RowBox[{(-32), ^, RowBox[{(, RowBox[{-, 0.6}], )}]}], =}], TraditionalForm]

(c)    log(25) + 2 log(2) =

(d)   log_3(1) =

(e) 3^log_3(4) =