Inverse & Composite Functions

Tags

CCSS.HSF-BF.B.4A

What does an inverse function do?

• Nothing

• Makes it bigger

• Does the opposite of the original function

Tags

CCSS.HSF-BF.B.4C

Was the inverse function found correctly?

• no,
• yes

Tags

CCSS.HSF-BF.B.4A

What does it mean to find the inverse of a function?

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

Tags

CCSS.HSF-BF.B.4A

If f(x)=x+5, what is f^-1(x)?

• (x + 5)²

• x - 5

• (x + 5)^-1

• undefined

Tags

CCSS.HSF-BF.B.4A

If f(x)=3x, what is f^-1(x)?

• x/3

• 3x²

• 3x + 3x

• 3x^-1

Tags

CCSS.HSF-BF.B.4A

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

• (1, 2) (3, 8) (-3, 6)
• (1, 2) (8, 3) (-3, 6)
• (-1, -2) (-3, -8) (3, -6)
• (2, 1) (8, 3) (6, -3)

Tags

CCSS.HSF-BF.B.4C

When finding the inverse of a relation, 
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

• solve for y
• replace y with f^-1(x)
• solve for x
• find the greatest common factor

Tags

CCSS.HSF-BF.B.4A

What is the inverse of the points
(1,3)(2,4)(6,8)

• (3,1)(4,2)(8,6)
• (-3,-1)(-4,-2)(-8,-6)
• (1,3)(2,4)(6,8)
• (-1,-3)(-2,-4)(-6,-8)

Tags

CCSS.HSF-BF.B.4C

Find the inverse function

• 
• 
• 
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Tags

CCSS.HSF-BF.B.4A