1.1.6 Verifying Inverses

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

The inverse has been reflected over which line?

• y = x
• y =1
• y = 0
• y = x + 1

Tags

CCSS.HSF-BF.B.4B

Are these the graphs of two inverse functions?

• Yes
• No
• No way to tell

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

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Tags

CCSS.HSF-BF.B.4A

What is the inverse of the function
f(x) = 2x + 4   ?

• f^-1(x) = 4(x -2)
• f^-1(x) = (x-4)/2
• f^-1(x) = x/2 - 4
• f^-1(x) = x/4 + 2

Tags

CCSS.HSF-BF.B.4A

Are these functions inverses of each other?

• Yes
• No

Tags

CCSS.HSF-BF.B.4B

Are f(x) =x+6 and g(x) =x-6 inverses?

• Yes

• No

Tags

CCSS.HSF-BF.B.4B

To prove two functions are inverses of each other, both f(g(x)) and g(f(x)) should equal...

• 1

• x

• 0

• y

Tags

CCSS.HSF-BF.B.4B

Determine whether each pair of functions are inverse functions.

 $f\left(x\right)\ =\ x\ -\ 1$   $g\left(x\right)\ =\ 1-x$  

• yes

• no

Tags

CCSS.HSF-BF.B.4B