Finding Inverse Functions Algebra

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

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 
f(x)= x⁴ - 2

• ∜(x+2)

• (x+2)⁴

• -1+2x⁴

• ∜2x

Tags

CCSS.HSF-BF.B.4A

Find the inverse of f(x) = -3x + 3

• f^-1(x) = -3x + 1

• f^-1(x) = -1/3x + 1

• f^-1(x) = -1/3x - 1

• f^-1(x) = 1/3x + 1

Tags

CCSS.HSF-BF.B.4A

Was the inverse function found correctly?

• no

• yes

Tags

CCSS.HSF-BF.B.4A

If (f(x) = 12x - 4, then the inverse function f^-1(x) is:

• f^-1(x) = (x + 1)/(3)

• f^-1(x) = (x/3) + 1

• f^-1(x) = (x + 4)/(12)

• f^-1(x) = (x/12) + 4

Tags

CCSS.HSF-BF.B.4A

• A
• B
• C
• D

Tags

CCSS.HSF-BF.B.4A

Which is f ^-1(x)?

• f ^-1(x) = 5x + 3

• f ^-1(x) = 5x - 3

• f ^-1(x) = 5x - 15

• f ^-1(x) = 1/5(x) + 3/5

Tags

CCSS.HSF-BF.B.4A

Which is f ^-1(x)?

• f ^-1(x) = 3x + 5

• f ^-1(x) = 3x - 5

• f ^-1(x) = 3x - 15

• f ^-1(x) = 3x + 15

Tags

CCSS.HSF-BF.B.4A

Are these graphs inverses?

• yes

• no

• There is no way to tell

Tags

CCSS.HSF-BF.B.4C