Inverse Functions

The inverse of the function f(x) is written as ...

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

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

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

f(x)=2x-2

• f^-1(x)=(x+2)/2

• f^-1(x)=-x+1

• f^-1(x)=-x/2 - 2

• f^-1(x)=-x/2 + 2

Tags

CCSS.HSF-BF.B.4A

If f^-1(-25) = 7 then what is f(7) = 

• 25
• 7
• No enough information. 
• -25

Tags

CCSS.HSF-BF.B.4C

Are the following inverses of each other (use composition of functions to check)

• Yes

• No

Tags

CCSS.HSF-BF.B.4B

Find the inverse of f(x) = x² - 5

• f^-1(x) = √(x) + 5
• f^-1(x) = ∛(x-5)
• f^-1(x) =√(x+5)
• f^-1(x) = x² - 5

Tags

CCSS.HSF-BF.B.4A

Find the inverse of the function including any restriction on domain

• f^-1 = (x² + 2),  x ≤ 0
• f^-1 = (x² + 1) / 2,  x ≤ 0
• f^-1 = (x² − 1) / 2,  x ≥ 0
• Inverse does not exist

Tags

CCSS.HSF-BF.B.4D

Find the inverse of the function including any restriction on domain

• f^-1 = x³ − 5, x ≥ 5
• f^-1 = x³ + 5,  x ≥ 0
• f^-1 = x³ + 5
• Inverse does not exist

Tags

CCSS.HSF-BF.B.4D

g(x)=3x+4
h(x)=3x-1
Find (g∘h)(x)

• -9x+11
• 4x²+4x
• 9x+1
• 9x+11

Tags

CCSS.HSF-BF.A.1C