5.6 Inverse Functions_Alg2

The inverse has been reflected over which line? Remember, f^-1(x) represents the inverse of f(x).

• y = x

• x = 0

• y = 0

• x = -y

Tags

CCSS.HSF-BF.B.4B

f(x) = -4x - 12

Is the inverse of f(x) a function?

Use the Horizontal Line Test

• yes

• no

f(x) = -4x - 12

Which function is the inverse of f(x)?

• g(x) = 4x - 3

• g(x) = -1/4x - 3

• g(x) = 1/4x + 3

• g(x) = -4x - 3

Tags

CCSS.HSF-BF.B.4A

Which function is the inverse of f(x)?

• g(x) = 5x + 3

• g(x) = 5x - 3

• g(x) = 5x - 15

• g(x) = 1/5(x) + 3/5

Tags

CCSS.HSF-BF.B.4A

How must the domain of f(x) be restricted such that g(x) is the inverse of f(x) ?

(hint: graph f(x) and g(x) and determine which half of f(x) you need to exclude and which half you need to keep)

• x ≤ 0

• x ≥ 0

• x ≤ 3

• x ≥ 3

Tags

CCSS.HSF-BF.B.4D

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

(hint: the inverse switches the x and y values)

• (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

Is the inverse of f(x) = x² - 5 a function?

Use the Horizontal Line Test

• yes

• no

Is the inverse of f(x) = x² - 5, x ≥ 0 a function?

Use the Horizontal Line Test

• yes

• no

Find the inverse of f(x) = x² - 5, x ≥ 0

• g(x) = √(x) + 5

• g(x) = ∛(x-5)

• g(x) =√(x+5)

• g(x) = x² - 5

Tags

CCSS.HSF-BF.B.4D

Are these inverse functions?

• no
• yes
• no way to tell

Tags

CCSS.HSF-BF.B.4B