Finding Composite Functions with Numbers

Finding Composite Functions with Numbers

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Practice Problem

Hard

CCSS
HSF-BF.A.1C, HSA.APR.C.4, 7.EE.A.1

Standards-aligned

Created by

Mia Campbell

FREE Resource

Standards-aligned

CCSS.HSF-BF.A.1C
,
CCSS.HSA.APR.C.4
,
CCSS.7.EE.A.1
This video tutorial explains composite functions, focusing on finding f(g(x)) and g(f(x)) using specific examples. It begins with an introduction to composite functions and their significance, followed by a detailed definition and domain explanation. The video then provides step-by-step solutions for example problems involving f(g(x)) and g(f(x)) when x equals 3. The tutorial concludes with encouragement for viewers to practice and review their understanding.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a composite function?

A function that combines two functions

A function that maps one input to multiple outputs

A function that maps multiple inputs to one output

A function that only works with numbers

Tags

CCSS.HSF-BF.A.1C

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the largest turtle mentioned in the video?

Hawksbill sea turtle

Loggerhead sea turtle

Leatherback sea turtle

Green sea turtle

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of a composite function f(g(x))?

The set of all x in the domain of g

The set of all x in the domain of f

The set of all x in the domain of g such that g(x) is in the domain of f

The set of all x in the domain of f such that f(x) is in the domain of g

Tags

CCSS.HSF-BF.A.1C

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving a composite function?

Substitute the outer function

Simplify the expression

Substitute the inner function

Follow the order of operations

Tags

CCSS.HSF-BF.A.1C

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is f(g(3)) if f(x) = x^2 and g(x) = 3x - 5?

25

16

22

9

Tags

CCSS.HSF-BF.A.1C

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the new input when finding f(g(3))?

9

16

3

4

Tags

CCSS.HSF-BF.A.1C

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of (3x - 5)^2?

9x^2 - 15x + 20

9x^2 - 30x + 20

9x^2 - 15x + 25

9x^2 - 30x + 25

Tags

CCSS.HSA.APR.C.4

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