IB Math SL – 1
HW 6 – Inverse Functions
Directions:
1.
4.
2.
1,6, 0,2, 1,2, 3,6
3.
2,1, 4,2, 2,3, 8,4
(a) Show that f and g are inverse functions algebraically and (b) verify that f and g
are inverse functions numerically by creating a table of values for each function.
7
2x  6
f  x     3, g  x   
2
7
Directions:
6.
Find the inverse of each relation. State whether the relation is a function. State
whether the inverse is a function.
3,5, 6,10, 9,15
Directions:
Name_________ _____________________________
5.
f  x   x 3  5, g x   3 x  5
Show that f and g are inverse functions algebraically. Use a GDC to graph f and g
in the same viewing window. Describe the relationship between the graphs.
f x   x3 , g x   3 x
7.
f x   x  4 , g x   x 2  4, x  0
Directions:
8.
Find the inverse of each function. Then use composition to verify that the equation
you wrote is the inverse.
f x   5 x  1
9. h x   
2x  3
4
11.
f x  
14.
Given f : x  3 x  4, x  , do the following:
12. g  x   2 x 
a) Find an expression for the inverse function
b) Sketch the graphs of
c) Solve the equation
1
x3
2
3x
4
f 1 x .
f x  and f 1 x  on the same set of axes.
f x   f 1 x  .
10. h x  
13. g  x  
x8
3
1
x  2  3
2