Composition and Inverse of Functions

• Inverse Functions
• Not Inverse Functions

Tags

CCSS.HSF-BF.B.4B

What are you supposed to do Algebraically to verify that the two functions f(x) & g(x) are inverses of each other?

• Verify the f(g(x)) = x only

• Verify that g(f(x)) = x only

• Verify that BOTH f(g(x)) = x & g(f(x)) = x

Tags

CCSS.HSF-BF.B.4B

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

• 19

• 23

• -10

• None of these.

Tags

CCSS.HSF-BF.A.1C

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

• (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

When solving f(g(x)) you work in what order?

• Left to right

• Alphabetical

• INSIDE then OUT

• It doesn't matter what you solve first, just pick your favorite letter.

Tags

CCSS.HSF-BF.A.1C

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

• True

• False

Tags

CCSS.HSF-BF.B.4B

Tags

CCSS.HSF-BF.B.4B

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

• 19

• 23

• -10

• None of these.

Tags

CCSS.HSF-BF.A.1C

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

• 9x² - 6x + 1

• 3x - 1

• 3x² - 1

• 9x² - 1

Tags

CCSS.HSF-BF.A.1C

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

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

Tags

CCSS.HSF-BF.A.1C