Review all functions including composition and inverses

1

2

Let
and
Find

2

Let
and
Find

2

Let
and
Find

2

Let
and
Find

10

Problem 4 Got It?

A

B

C

D

F.BF.4.a

F.IF.1

10

Problem 6 Got It? Given g(x) below, find g^-1(x).

F.BF.4.a

10

Problem 6 Got It?

A

B

C

D

F.BF.4.a

10

What is the inverse of f ? Is the inverse a function?

A

B

C

D

F.BF.4.a

F.IF.1

10

What is the inverse of f ? Is the inverse a function?

A

B

C

D

F.BF.4.a

F.IF.1

10

What is the inverse of f ? Is the inverse a function?

A

B

C

D

F.BF.4.a

F.IF.1

10

A

B

C

D

F.BF.4.a

10

For h, find the value for x for which the equality
(h ◦ h^-1)(x) = x does not hold.

A

B

C

D

F.BF.4.a

10

Reasoning: A function consists of the pairs (2, 3), (x, 4), and (5, 6). What values, if any, may x not assume?

For the relation to be a function, x may not assume 2, 3, 4, 5, or 6.

x may assume any real number and the relation will still represent a function.

For the relation to be a function, x may not assume 2 or 5.

For the relation to be a function, x may not assume 3, 4, or 5.

F.IF.1

10

Review Lesson 6-6: For the given functions f, g, and h, match each function operation and composition on the left with the equivalent simplified expression on the right.

F.BF.1.b

F.BF.1.c

Review all functions including composition and inverses

Let
and
Find

Let
and
Find

Let
and
Find

Let
and
Find

Problem 4 Got It?

Problem 6 Got It? Given g(x) below, find g^-1(x).

Problem 6 Got It?

What is the inverse of f ? Is the inverse a function?

What is the inverse of f ? Is the inverse a function?

What is the inverse of f ? Is the inverse a function?

For h, find the value for x for which the equality
(h ◦ h^-1)(x) = x does not hold.

Reasoning: A function consists of the pairs (2, 3), (x, 4), and (5, 6). What values, if any, may x not assume?

Review Lesson 6-6: For the given functions f, g, and h, match each function operation and composition on the left with the equivalent simplified expression on the right.

DOMAIN

DOMAIN

DOMAIN

DOMAIN

DOMAIN

DOMAIN

Let
and
Find

Let
and
Find

Let
and
Find

Let
and
Find

Problem 4 Got It?

Problem 6 Got It? Given g(x) below, find g^-1(x).

Problem 6 Got It?

What is the inverse of f ? Is the inverse a function?

What is the inverse of f ? Is the inverse a function?

What is the inverse of f ? Is the inverse a function?

For h, find the value for x for which the equality
(h ◦ h^-1)(x) = x does not hold.

Reasoning: A function consists of the pairs (2, 3), (x, 4), and (5, 6). What values, if any, may x not assume?

Review Lesson 6-6: For the given functions f, g, and h, match each function operation and composition on the left with the equivalent simplified expression on the right.

DOMAIN

DOMAIN

DOMAIN

DOMAIN

DOMAIN

DOMAIN

Review all functions including composition and inverses

Review all functions including composition and inverses

Let and Find

Let and Find

Let and Find

Let and Find

Problem 4 Got It?

Problem 6 Got It? Given g(x) below, find g-1(x).

Problem 6 Got It?

What is the inverse of f ? Is the inverse a function?

What is the inverse of f ? Is the inverse a function?

What is the inverse of f ? Is the inverse a function?

For h, find the value for x for which the equality (h ◦ h-1)(x) = x does not hold.

Reasoning: A function consists of the pairs (2, 3), (x, 4), and (5, 6). What values, if any, may x not assume?

Review Lesson 6-6: For the given functions f, g, and h, match each function operation and composition on the left with the equivalent simplified expression on the right.

DOMAIN

DOMAIN

DOMAIN

DOMAIN

DOMAIN

DOMAIN

Let and Find

Let and Find

Let and Find

Let and Find

Problem 4 Got It?

Problem 6 Got It? Given g(x) below, find g-1(x).

Problem 6 Got It?

What is the inverse of f ? Is the inverse a function?

What is the inverse of f ? Is the inverse a function?

What is the inverse of f ? Is the inverse a function?

For h, find the value for x for which the equality (h ◦ h-1)(x) = x does not hold.

Reasoning: A function consists of the pairs (2, 3), (x, 4), and (5, 6). What values, if any, may x not assume?

Review Lesson 6-6: For the given functions f, g, and h, match each function operation and composition on the left with the equivalent simplified expression on the right.

DOMAIN

DOMAIN

DOMAIN

DOMAIN

DOMAIN

DOMAIN

Let
and
Find

Let
and
Find

Let
and
Find

Let
and
Find

Problem 6 Got It? Given g(x) below, find g^-1(x).

For h, find the value for x for which the equality
(h ◦ h^-1)(x) = x does not hold.

Let
and
Find

Let
and
Find

Let
and
Find

Let
and
Find

Problem 6 Got It? Given g(x) below, find g^-1(x).

For h, find the value for x for which the equality
(h ◦ h^-1)(x) = x does not hold.