Inverse and composition of functions

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

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) =2x - 4

• f^-1(x) = x+2

• f^-1(x) = 2x+4

• f^-1(x) = .5x + 2

• f^-1(x) = .5x + 4

Tags

CCSS.HSF-BF.B.4A

Are the following inverses of each other? Use composition of functions to determine this.

• Yes

• NO

Tags

CCSS.HSF-BF.B.4B

Find the inverse of
f(x) = 1/4x - 7

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

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

Which graph is the inverse of the graph shown?

• 
• 
• 
• 

Tags

CCSS.HSF-BF.B.4C

Use the horizontal line test to determine whether the inverse of the graph is a function.

• Function

• Not a Function

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.BF.B.4

Which of the following relations is a one-to-one function?

• {(0,2), (0,4), (0,5), (0,6)}

• {(1,3), (4,3), (8,3), (3,1)}

• {(5,-1), (6,3), (1,2), (7,-8)}

• {(1,2), (3,4), (-1,-2), (1,5)}

Tags

CCSS.HSF.IF.A.1

Which of the following relations is a one-to-one function?

• 
• 
• 
• 

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.BF.B.4