Lesson
Inverse Functions
The graph of a one-to-one function is given. Draw the graph of the inverse function f-1. For convenience,
the graph of y = x is also give.
1)
x
-5-4-3-2-1 12345
y
5
4
3
2
1
-1
-2
-3
-4
-5
(-4, - 2)
(-2, 1)
(0, 2)
(1, 4)
x
-5-4-3-2-1 12345
y
5
4
3
2
1
-1
-2
-3
-4
-5
(-4, - 2)
(-2, 1)
(0, 2)
(1, 4)
Decide whether or not the functions are inverses of each other.
2) f(x) = 7x - 9, g(x) = x + 7
9
3) f(x) = (x - 2)2, x ≥ 2; g(x) = x + 2
The function f is one-to-one. Find its inverse.
4) f(x) = 7x + 8
5) f(x) = 8
x
6) f(x) = x2 + 5, x ≥ 0
7) f(x) = 4
3x + 5
8) f(x) = (x + 6)3
9) f(x) = 3x + 3
CollegeAlgebra
