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# Algebra 4.3

1) Given the function f(x)= sqrt(x-8), find the DOMAIN of the inverse function, f^-1(x).
a) (-â??,â??)
b) [0,â??)
c) (-â??, 0]
d) (-â??, 8]
e) [8,â??)

2)Use the functions f(x) and g(x) represented in the tables given below to answer the following questions.
x f(x)
0 -2
1 0
2 2
3 4
4 6
x g(x)
0 1
1 2
2 3
3 4
4 5
Find g(4)=____
Find f^-1(-2)=______
Find (f o g^-1)(1)=_______
Find (g^-1 o f^-1)(0)=________

3) Use the table for f(x) to find a table for f^-1(x).

x 2 3 5 7
f(x) 7 8 9 11

a) x -7 -8 -9 -11
f(x) 2 3 5 7

b) x 2 3 5 7
f(x) -7 -8 -9 -11

c) x -2 -3 -5 -7
f(x) 7 8 9 11

d) x 7 8 9 11
f(x) -2 -3 -5 -7

e) x 7 8 9 11
f(x) 2 3 5 7

4) Use the table of the one-to-one function g(x) shown below, to answer the questions below.

x y
-4 -6
-3 -2
-1 1
2 2
6 5

a) Must the point (-3, -2) be on the table of g^-1(x)?
Yes
No

b) Must the point (-6, -4) be on the table of g^-1(x)?
Yes
No

c) Must the point (6, 0.2) be on the table of g^-1(x)?
Yes
No

d) Could the point (8, 5) be on the table of g^-1(x)?
Yes
No

5) If V(x)=4x-13/6, find V^-1(x).
a) V^-1(x)=-4x+13/6
b) V^-1(x)=6x-13/4
c) V^-1(x)=6/4x-13
d) V^-1(x)=6x+13/4