Кері функция ұғымы. Алгебра, 10 сынып, қосымша материал.


Kuta Software - Infinite Algebra 2

Function Inverses

State if the given functions are inverses.

  • g(x ) = 4 − 3 x 2

13

f (x ) =x +

22

  • f (n) = −16 + n 4

g(n) = 4n + 16

  • 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.

  • h(x ) = 3 x − 3
  • h(x ) = 2x3 + 3

Name___________________________________

Date________________ Period____

  • g(n) = −12 − 2n 3

−5 + 6n

f (n) =

5

  • f (x ) = − 4 x16

77

33

g(x ) =x

22

  • f (n) = 2(n − 2)3

g(n) =

4 +

3 4n

2

  • g(x ) = − 2 − 1 x

f (x ) = −2

x + 1

  • g(x ) = 1 − 2 x
  • g(x ) = −4x + 1

-1-Worksheet by Kuta Software LLC

13) g(x ) =

7x +

18

14) f (x ) = x + 3

2

15)f (x ) = − x + 316)f (x ) = 4x

Find the inverse of each function.Then graph the function and its inverse.

17)

f (x ) = −1 − 1

x

5

y

6

5

4

3

2

1

−6

−5

−4

−3

−2

−1

1

2

3

4

5

6

x

−1

−2

−3

−4

−5

−6

19)

f (x ) = −2x 3 + 1

y

6

5

4

3

2

1

−6

−5

−4

−3

−2

−1

1

2

3

4

5

6

x

−1

−2

−3

−4

−5

−6

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

x

−1

−2

−3

−4

−5

−6

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

x

−1

−2

−3

−4

−5

−6

-2-

Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Function Inverses

State if the given functions are inverses.

  • g(x ) = 4 − 3 x 2

13

f (x ) =x +

22

No

  • f (n) = −16 + n 4

g(n) = 4n + 16

Yes

  • 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.

  • h(x ) = 3 x − 3

h−1 (x ) = (x + 3)3

  • h(x ) = 2x3 + 3

h−1 (x ) = 3 x 3

2

Name___________________________________

Date________________ Period____

  • g(n) = −12 − 2n 3

−5 + 6n

f (n) =

5

No

  • f (x ) = − 4 x16

77

33

g(x ) =x

22

No

  • f (n) = 2(n − 2)3

3

g(n) = 4 +4n

2

Yes

  • g(x ) = − 2 − 1 x

f (x ) = −2

x + 1

Yes

  • g(x ) = 1 − 2 x

11

g(x ) =

  • g(x ) = −4x + 1

g−1

1

1

(x ) = −

x +

4

4

-1-Worksheet by Kuta Software LLC

  • g(x ) = 7x + 18 2

g−1 (x ) = 2x 18

7

  • f (x ) = − x + 3
  • 1 (x ) = −x + 3

  • f (x ) = x + 3
    • 1 (x ) = x − 3

  • f (x ) = 4x
    • 1 (x ) = x

4

Find the inverse of each function.Then graph the function and its inverse.

17)

f (x ) = −1 − 1

x

5

y

f −1(x) = −5 x − 5

6

5

4

3

2

1

−6

−5

−4

−3

−2

−1

1

2

3

4

5

6

x

−1

−2

−3

−4

−5

−6

19)

f (x ) = −2x 3 + 1

y

f −1(x) = 3 −x + 1

2

6

5

4

3

2

1

−6

−5

−4

−3

−2

−1

1

2

3

4

5

6

x

−1

−2

−3

−4

−5

−6

18) g(x ) =

1

x − 1

y

g −1(x) = 1

+ 1

6

x

5

4

3

2

1

−6

−5

−4

−3

−2

−1

1

2

3

4

5

6

x

−1

−2

−3

−4

−5

−6

20)

g(x ) = x − 5

3

y

g −1(x) = −3 x − 5

6

5

4

3

2

1

−6

−5

−4

−3

−2

−1

1

2

3

4

5

6

x

−1

−2

−3

−4

−5

−6

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

-2-Worksheet by Kuta Software LLC



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