Calculus Problem Set

Calculus Problem Set- Need after 15 hours.

Question

1

:
 
Find the parameters a and b included in the linear function f(x) = a x + b so that f -1 (

2

) =

3

and f -1 (-3) = 6, where f -1 (x) is the inverse of function f.

Question 2:
 
Given f(x) = x3 + 2 x, complete the table of values given below and find f -1(3) and f -1(-

12

). 

0

x	f(x)
	0
1	3
2	12

Question 3:
 Proove that the inverse of an invertible odd function is also an odd function.

Question 4:
 
Let f(x) = 1 / (x – 2). Find the points of intersection of the graphs of f and that of f -1 the inverse of function f. Graph f, its inverse and the line y = x. Where are the points of intersection located?

Question 5:
 
Graph function f defined by f(x) = |x – 2| + 2x and its inverse f -1 and find a formula for its inverse.