Function Inverses Date Period
Kuta Software - Infinite Algebra 2
Function Inverses
State if the given functions are inverses.
1)
g(x) = 4 -
3 x
2
f (x) = 1 x + 3
2 2
3) f (n) = -16 + n
4
g(n) = 4n + 16
5) f (n) = -(n + 1)3 g(n) = 3 + n3
7) f (x) = 4 + 2
-x - 2
h(x) = - 1
x + 3
Find the inverse of each function.
9)
h(x) =
3
x
- 3
Name___________________________________ Date________________ Period____
2) g(n) = -12 - 2n
3
f (n) = -5 + 6n
5
4) f (x) = - 4 x - 16
7 7
g(x) = 3 x - 3
2 2
6) f (n) = 2(n - 2)3
3
g(n) = 4 + 4n
2
8) g(x) = - 2 - 1
x
f (x) = - 2
x + 1
10) g(x) = 1 - 2
x
11) h(x) = 2x3 + 3
12) g(x) = -4x + 1
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-1-
Worksheet by Kuta Software LLC
13) g(x) = 7x + 18
2
15) f (x) = -x + 3
14) f (x) = x + 3 16) f (x) = 4x
Find the inverse of each function. Then graph the function and its inverse.
17) f (x) = -1 - 1 x
5
18) g(x) = 1
x - 1
y 6 5 4 3 2 1
-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6
1 2 3 4 5 6x
y 6 5 4 3 2 1
-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6
1 2 3 4 5 6x
19) f (x) = -2x3 + 1
y 6 5 4 3 2 1
-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6
1 2 3 4 5 6x
20) g(x) = -x - 5
3
y 6 5 4 3 2 1
-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6
1 2 3 4 5 6x
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-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Function Inverses
State if the given functions are inverses.
1)
g(x) = 4 -
3 x
2
f (x) = 1 x + 3
2 2
No
3) f (n) = -16 + n
4
g(n) = 4n + 16
Yes
5) f (n) = -(n + 1)3 g(n) = 3 + n3
No
7) f (x) = 4 + 2
-x - 2
h(x) = - 1
x + 3
No
Find the inverse of each function.
9)
h(x) =
3
x
- 3
h-1(x) = (x + 3)3
Name___________________________________ Date________________ Period____
2) g(n) = -12 - 2n
3
f (n) = -5 + 6n
5 No
4) f (x) = - 4 x - 16
7 7
g(x) = 3 x - 3
2 2 No
6) f (n) = 2(n - 2)3
3
g(n) = 4 + 4n
2 Yes
8) g(x) = - 2 - 1
x
f (x) = - 2
x + 1 Yes
10) g(x) = 1 - 2
x
g-1(x) = 1
x + 2
11) h(x) = 2x3 + 3 h-1(x) = 3 x - 3
2
12) g(x) = -4x + 1 g-1(x) = - 1 x + 1
4 4
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-1-
Worksheet by Kuta Software LLC
13) g(x) = 7x + 18
2
g-1(x) = 2x - 18
7
15) f (x) = -x + 3 f -1(x) = -x + 3
14) f (x) = x + 3 f -1(x) = x - 3
16) f (x) = 4x f -1(x) = x
4
Find the inverse of each function. Then graph the function and its inverse.
17) f (x) = -1 - 1 x
5
f -1(x) = -5x - 5
y 6 5 4 3 2 1
-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6
1 2 3 4 5 6x
18) g(x) = 1
x - 1
g-1(x) = 1 + 1
y
x
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6
1 2 3 4 5 6x
19) f (x) = -2x3 + 1
f -1(x) = 3 -x + 1
y
2
6
5
4
3
2
1
-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6
1 2 3 4 5 6x
20) g(x) = -x - 5
3
g-1(x) = -3x - 5
y 6 5 4 3 2 1
-6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6
1 2 3 4 5 6x
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at
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-2-
Worksheet by Kuta Software LLC
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