Review: Composition and Inverse

Given h(x) = 2x
k(x) = x + 10
Find h(k(5))

• 30
• -5
• 22
• 8

Tags

CCSS.HSF-BF.A.1C

f(x) = 3x + 10 g(x) = x − 2

Which is the correct set up to find f(g(x))

• 3x + 10 + x − 2

• 3(x − 2) + 10

• (3x + 10) − 2

• None of these.

Tags

CCSS.HSF-BF.A.1C

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

• -14
• 20
• 6
• 7

Tags

CCSS.HSF-BF.A.1C

If the points (1, 4) and (4, 6) are on the graph of f(x), what points are guaranteed to be on the graph f^-1(x)?

• (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.4C

Are these inverse relations?

• yes

• no

• no way to tell

Tags

CCSS.HSF-BF.B.4B

What is the inverse of the given coordinates:
 (1, 2) (3, 8) (-3, 6)

• (1, 2) (3, 8) (-3, 6)
• (1, 2) (8, 3) (-3, 6)
• (-1, -2) (-3, -8) (3, -6)
• (2, 1) (8, 3) (6, -3)

Tags

CCSS.HSF-BF.B.4C

The final answer is wrong. Where is the mistake?

• The x and y did not get switched correctly

• 4 should have been added not subtracted

• in the last line, x should have also been divided by 3

Tags

CCSS.HSF-BF.B.4A

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

• 16
• 4
• -4
• None of these.

Tags

CCSS.HSF-BF.A.1C

A relation that is one-to-one

• passes both the vertical and horizontal line tests

• has an inverse relation that is a function

• has no repeating x values and no repeating y-values

• All of these

(f○g)(1) =

• -5

• -3

• 0

• 1

Tags

CCSS.HSF-BF.A.1C