Composition of Functions

Composition of Functions

Assessment

Flashcard

Mathematics

8th - 10th Grade

Practice Problem

Hard

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

+3

Standards-aligned

Created by

Wayground Content

FREE Resource

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16 questions

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1.

FLASHCARD QUESTION

Front

What is the composition of functions?

Back

The composition of functions is a process where one function is applied to the result of another function, denoted as (f ∘ g)(x) = f(g(x)).

Tags

CCSS.HSF-BF.A.1C

2.

FLASHCARD QUESTION

Front

How do you find the product of two binomials, such as (a + b)(c + d)?

Back

Use the distributive property (FOIL method): Multiply the first terms, outer terms, inner terms, and last terms, then combine like terms.

Tags

CCSS.HSA.APR.A.1

3.

FLASHCARD QUESTION

Front

What is the result of (y - 3)(y + 7)?

Back

y² + 4y - 21.

Tags

CCSS.HSA.APR.A.1

4.

FLASHCARD QUESTION

Front

What is the result of (x + 2)(x + 3)?

Back

x² + 5x + 6.

Tags

CCSS.HSA.APR.A.1

5.

FLASHCARD QUESTION

Front

How do you evaluate a function at a specific point, such as f[g(5)]?

Back

First, find g(5), then substitute that result into f.

Tags

CCSS.HSF-BF.A.1C

6.

FLASHCARD QUESTION

Front

If g(x) = 3x + 4 and h(x) = 3x - 1, what is g(h(x))?

Back

g(h(x)) = 9x + 1.

Tags

CCSS.HSF-BF.A.1C

7.

FLASHCARD QUESTION

Front

What is the formula for simplifying (x - a)²?

Back

(x - a)² = x² - 2ax + a².

Tags

CCSS.HSA.APR.C.4

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