Piecewise Functions, Absolute Value Functions, Inverse and Composite Functions

f(x) = {(3, 7), (4, -2), (5, -1), (8, 7)}
Is f^-1(x) a function?

• Yes
• No
• No way to tell

Are the following inverses of each other?

• True
• False

Tags

CCSS.HSF-BF.B.4B

Find the inverse of f(x) = 5/11x +10 

• f^-1(x) = 11/5x - 22
• f^-1(x) = 5/11x - 22
• f^-1(x) = 11/5x - 20
• None of the above

Tags

CCSS.HSF-BF.B.4A

What is the inverse of this function?

• A
• B
• C
• D

Tags

CCSS.HSF-BF.B.4A

Which expression represents g(f(x)) if          f(x) = 2x - 8
and
g(x) = 4x

• 8x - 32
• 8x² - 32x
• 8x - 8
• 6x - 8

Tags

CCSS.HSF-BF.A.1C

• 9 - √17
• 4
• 2
• √8

Tags

CCSS.HSF-BF.A.1C

The composition of any function, f(x), and
its inverse, f^-1(x) = 

• x
• f(x)
• 1
• 0

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

Given f(x)= -3x+7 and g(x)=2x² - 8, find g(f(x)).

• g(f(x))= -6x²+31
• g(f(x))= -6x²+24
• g(f(x))=18x²-84x+90
• g(f(x))=9x²-42x-41

Tags

CCSS.HSF-BF.A.1C

Are the following inverses of each other if x is positive?

• True

• False

Tags

CCSS.HSF-BF.B.4B