Algebra 2: Inverse Functions and Compositions

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

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

Tags

CCSS.HSF-BF.B.4C

Find the inverse 
f(x)= x⁴ - 2

• ∜(x+2)
• (x+2)⁴
• -1+2x⁴
• ∜2x

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

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

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) = 1/4x - 7

• f^-1(x) = 1/4x + 7/4
• f^-1(x) = -4x + 28
• f^-1(x) = -4x - 7
• f^-1(x) = 4x + 28

Tags

CCSS.HSF-BF.B.4A

Given that f(x) = 3x + 5 and g(x) = 1/3x + 5, find f(g(x)).  Are the two functions inverses of each other?

• x + 20 ; Yes they are inverses
• x + 20 ; No, they are not inverses
• x ; Yes they are inverses
• x ; No, they are not inverses

Tags

CCSS.HSF-BF.B.4B

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

• True

• False

Tags

CCSS.HSF-BF.B.4B

f(x) = 3x + 10

g(x) = ⅓x - 3

Find g(f(x))

• f(g(x)) = 1

• f(g(x)) = x

• f(g(x)) = 0

• None of these.

Tags

CCSS.HSF-BF.A.1C

• Inverse Functions

• Not Inverse Functions

Tags

CCSS.HSF-BF.B.4B