What is a composite function?
Composite & Inverse Functions

Flashcard
•
Mathematics
•
11th Grade
•
Hard
Quizizz Content
FREE Resource
Student preview

15 questions
Show all answers
1.
FLASHCARD QUESTION
Front
Back
A composite function is a function that is formed by combining two functions, where the output of one function becomes the input of the other. It is denoted as (f ∘ g)(x) = f(g(x)).
2.
FLASHCARD QUESTION
Front
How do you find j(h(x)) if j(x) = ∛(x-1) and h(x) = x³ + 1?
Back
To find j(h(x)), substitute h(x) into j(x): j(h(x)) = j(x³ + 1) = ∛((x³ + 1) - 1) = ∛(x³) = x.
3.
FLASHCARD QUESTION
Front
What is the formula for finding the inverse of a function?
Back
To find the inverse of a function f(x), swap x and y in the equation y = f(x) and solve for y. The result is f⁻¹(x).
4.
FLASHCARD QUESTION
Front
Given f(x) = x² - 5, what is f⁻¹(x)?
Back
The inverse f⁻¹(x) is √(x + 5) for x ≥ 5, since the original function is not one-to-one without restricting its domain.
5.
FLASHCARD QUESTION
Front
What is the significance of the inverse of a function?
Back
The inverse of a function reverses the effect of the original function, meaning if f(a) = b, then f⁻¹(b) = a.
6.
FLASHCARD QUESTION
Front
How do you find g(f(x)) if g(x) = -3x and f(x) = x² + 2?
Back
To find g(f(x)), substitute f(x) into g(x): g(f(x)) = g(x² + 2) = -3(x² + 2) = -3x² - 6.
7.
FLASHCARD QUESTION
Front
What is the inverse of the coordinates (1, 2), (3, 8), (-3, 6)?
Back
The inverse of the coordinates is (2, 1), (8, 3), (6, -3).
Create a free account and access millions of resources
Similar Resources on Wayground
15 questions
Composite & Inverse Functions

Flashcard
•
11th Grade
15 questions
Inverse Functions Review

Flashcard
•
11th Grade
15 questions
Inverses and Composition of Functions

Flashcard
•
11th Grade
10 questions
Composition of Functions MakeUp Flashcard

Flashcard
•
12th Grade
15 questions
Inverse Functions

Flashcard
•
11th Grade
12 questions
Inverse and Composition of Functions

Flashcard
•
11th Grade
10 questions
Inverse Functions

Flashcard
•
11th Grade
14 questions
3.4 Derivatives of Inverses and Inverse Trig

Flashcard
•
11th Grade
Popular Resources on Wayground
25 questions
Equations of Circles

Quiz
•
10th - 11th Grade
30 questions
Week 5 Memory Builder 1 (Multiplication and Division Facts)

Quiz
•
9th Grade
33 questions
Unit 3 Summative - Summer School: Immune System

Quiz
•
10th Grade
10 questions
Writing and Identifying Ratios Practice

Quiz
•
5th - 6th Grade
36 questions
Prime and Composite Numbers

Quiz
•
5th Grade
14 questions
Exterior and Interior angles of Polygons

Quiz
•
8th Grade
37 questions
Camp Re-cap Week 1 (no regression)

Quiz
•
9th - 12th Grade
46 questions
Biology Semester 1 Review

Quiz
•
10th Grade