
Inverse Functions
Presentation
•
Mathematics
•
11th Grade
•
Medium
Standards-aligned
Tom Giles
Used 29+ times
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9 Slides • 14 Questions
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Inverse Functions

Dr. Tom Giles
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You can see how the original input a, produces b through f(x). THEN, b is used as the input to f-1(x) to BACK to a.
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4 steps to find inverse function
•Step1: Let f(x) = y
•Step 2: Interchange x and y
•Step 3: Solve for y
•Step 4: Change y to f-1(x)
Subject | Subject
Some text here about the topic of discussion
Find the inverse of the following function: f(x) = x -3
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Said another way...
x's are inputs
f(x) are the corresponding outputs
So...f-1(x) can take the outputs and reproduce the corresponding inputs
Inverse functions take you back to where you started.
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6
4 steps to find inverse function
•Step1: Let f(x) = y
•Step 2: Interchange x and y
•Step 3: Solve for y
•Step 4: Change y to f-1(x)
Subject | Subject
Some text here about the topic of discussion
Find the inverse of the following function: f(x) = x -3
7
4 steps to find inverse function
•Step1: Let f(x) = y
•Step 2: Interchange x and y
•Step 3: Solve for y
•Step 4: Change y to f-1(x)
Subject | Subject
Some text here about the topic of discussion
Find the inverse of the following function: f(x) = x -3
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Multiple Choice
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Multiple Choice
What does an inverse function do?
Nothing
Makes it bigger
Does the opposite of the original function
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Multiple Choice
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Multiple Choice
f(1) = -3
f(2) = -2
f(-1) = 2
f(3) = -1
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Multiple Choice
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Multiple Choice
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Multiple Choice
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Multiple Choice
What is the inverse of the given coordinates: (-2, 2) (3, 0) (7, 7)
(2, 2) (7, 7) (3, 0)
(-2, 2) (3, 0) (7, 7)
(2, -2) (-3, 0) (7, 7)
(7, 7) (0, 3) (2, -2)
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Fill in the Blanks
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Fill in the Blanks
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Multiple Choice
Find the inverse of f(x)=x+8
f−1(x)=x2+8
f−1(x)=x2−8
f−1(x)=(x+8)2
f−1(x)=(x−8)2
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Multiple Choice
Find the inverse of f(x)=−43x+5
f−1(x)=5(x−34)
f−1(x)=−43(x−5)
f−1(x)=−34(x−5)
f−1(x)=−5(x−43)
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Multiple Choice
Find the inverse of f(x)=3x+2
f−1(x)=3x−2
f−1(x)=2x−3
f−1(x)=23x
f−1(x)=32+x
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Fill in the Blanks
Type answer...
Inverse Functions

Dr. Tom Giles
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