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Function Inverses (1).pdf
Kuta Software - Infinite Algebra 2
State if the given functions are inverses.
3
1) g(x) = 4 − x
2
1 3
f (x) = x +
2 2
−16 + n
3) f (n)
= 
4
g(n) = 4n + 16
3
5) f (n) = −(n + 1)
3
g(n) = 3 + n
4
7)
f (x)
= 
+ 2
−x − 2
1
h(x)
= − 
x + 3
Find the inverse of each function.
9)
h(x)
= x
− 3
3
11) h(x) = 2x + 3
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Name___________________________________
Date________________ Period____
−12 − 2n
2)
g(n)
=
3
−5 + 6n
f
(n)
=
5
4 16
4) f (x)
= − x −
7 7
3 3 g(x) = x −
2 2
6) f (n) = 2(n − 2)3
3
4
g(n)
= + 4n
2
2
8)
g(x)
= − 
− 1
x
2
f
(x)
= −
x + 1
1
10) g(x)
= − 2 x
12) g(x) = −4x + 1
-1-
7x + 18 14) f (x) = x + 3
13) 
g(x)
=
2
15) f (x) = −x + 3 16) f (x) = 4x
Find the inverse of each function. Then graph the function and its inverse.
1 1
17)
f (x)
= −1 − x 18)
g(x)
=
5 x
− 1
(
) 3 −x
− 5
19) f x = −2x + 1 20) g(x) =
3
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Kuta Software - Infinite Algebra 2
State if the given functions are inverses.
3
1) g(x) = 4 − x
2
1 3
f (x) = x +
2 2
−16 + n
3) f (n)
=
4
g(n) = 4n + 16
3
5) f (n) = −(n + 1)
3
g(n) = 3 + n
4
7)
f (x)
= + 2
−x − 2
1
h(x)
= −
x + 3
Find the inverse of each function.
9)
h(x)
= x
− 3
−1 3 h (x) = (x + 3)
3
11) h(x) = 2x + 3
−1
h (x) =
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Name___________________________________
Date________________ Period____
−12 − 2n
2)
g(n)
=
3
−5 + 6n
f
(n)
=
5
4 16
4) f (x)
= − x −
7 7
3 3 g(x) = x −
2 2
6) f (n) = 2(n − 2)3
3
4 + 4n
g(n)
=
2
2
8)
g(x)
= − − 1
x
2
f
(x)
= − x
+ 1
1
10) g(x)
= − 2
x
−1 1 g (x) = 
x + 2
12) g(x) = −4x + 1
−1 1 1 g (x) = − x +
4 4
-1-
13) g(x)
= 7x
+ 18
2
−1 2x − 18 g (x) = 
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
−1 x f (x) =
|
Find the inverse of each function. Then graph the function and its inverse. |
4
1
17) f
(x)
= −1 − x
5
1
18) g(x)
= x
− 1
−1
f (x) = −5x
− 5 g−1( ) = 1
+ 1
x
19) f (x) x3 −x
− 5
= −2 + 1
20) g(x) =
3
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