Composition and Inverse of Functions

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

• 19
• 23
• -10
• None of these.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

f(x) = 3x + 10
g(x) = x - 2
Find f(g(x))

• 3x² - 2
• 3x + 8
• 3x + 4
• None of these.

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

What operation allows us to verify if functions are inverses?

• Multiplying

• Dividing

• Adding

• Composition of function

Tags

CCSS.HSF.BF.B.4

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

• x
• f(x)
• 1
• 0

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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.4

A function, f(x), goes through (1, 4) and (4, 6), what points below does it's inverse f^-1(x) go through?

• (1, 4) and (4, 6)

• (-4, -1) and (-6, -4)

• (-1, -4) and (-4, -6)

• (4, 1) and (6, 4)

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.C.7

Are these inverse functions?

• no

• yes

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.C.9

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.4

Are the following inverses of each other?

• True
• False

Tags

CCSS.HSF-BF.B.4B

Was the inverse function found correctly?

• no,
• yes

Tags

CCSS.HSF.BF.B.4