Inverses of Linear Functions
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the inverse of the function f(x) = -4x - 12?
Back
f-1(x) = -1/4x - 3
Tags
CCSS.HSF-BF.B.4A
2.
FLASHCARD QUESTION
Front
What line do inverses of functions reflect over?
Back
y = x
Tags
CCSS.HSF-BF.B.4C
3.
FLASHCARD QUESTION
Front
What is the general form of the inverse of a linear function?
Back
If f(x) = mx + b, then f-1(x) = (x - b)/m.
Tags
CCSS.HSF-BF.B.4A
4.
FLASHCARD QUESTION
Front
How do you find the inverse of a function algebraically?
Back
1. Replace f(x) with y. 2. Swap x and y. 3. Solve for y. 4. Replace y with f-1(x).
Tags
CCSS.HSF-BF.B.4A
5.
FLASHCARD QUESTION
Front
What is the significance of the slope in the inverse of a linear function?
Back
The slope of the inverse is the reciprocal of the original function's slope.
Tags
CCSS.HSF-BF.B.4C
6.
FLASHCARD QUESTION
Front
If f(x) = 2x + 5, what is f-1(x)?
Back
f-1(x) = (x - 5)/2.
Tags
CCSS.HSF-BF.B.4A
7.
FLASHCARD QUESTION
Front
What does it mean for two functions to be inverses of each other?
Back
f(f-1(x)) = x and f-1(f(x)) = x for all x in the domain.
Tags
CCSS.HSF-BF.B.4B
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