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

− 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 x − ¹⁶

77

33

g(x ) =x −

22

• f (n) = 2(n − 2)³

• 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

15)f (x ) = − x + 316)f (x ) = 4x

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

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

− 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 x − ¹⁶

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

-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.

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-2-Worksheet by Kuta Software LLC