Function Inverses and Operations

When f(x) = 9 - 3x and g(x) = 5x - 7

find f(x) + g(x).

• 14x - 10

• -8x + 2

• 2x + 2

• 2x - 2

Tags

CCSS.HSF-BF.A.1B

p(x) = 3x + 4
q(x) = 2x²
Find q(p(-2))

• 8
• -8
• 28
• None of these.

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

When f(x) = x² + 9 and g(x) = x - 9,

find f(x) - g(x).

• x² + x + 9

• x² - x + 9

• x² - x

• x² - x + 18

Tags

CCSS.HSF-BF.A.1B

f(x)=2x + 4

g(x)=3x² - 1

Find f(x) ⋅ g(x)

• 6x⁴ + 12x³ - 4x² - 8x

• -6x³ + 12x² + 2x - 4

• 6x³ + 12x² - 2x - 4

• 5x² - 18x + 20

Tags

CCSS.HSF-BF.A.1B

• (x + 3)/(x - 2)

• (x - 2)/(x + 3)

• -2/3

• 3/2

Tags

CCSS.HSF-BF.A.1B

• 9

• 11

• 90

• 110

Tags

CCSS.HSF-BF.A.1B

Let f(x) = 7x+5 and g(x) = x².
Find (f+g)(x) and state the domain.

• x² + 7x - 5
  Domain = all real #'s
• x² + 7x + 5 
  Domain = all real #'s
• x² + 7x + 5 
  Domain = [0, infinity)
• x² - 7x - 5 
  Domain = [0, infinity)

Tags

CCSS.HSF-BF.A.1B

What is the inverse in the given coordinates {(4,2), (18,9), (16,8), (10,5)}

• {(2,4), (9,18), (16,8), (5,10)}
• {(2,4), (9,18), (18,8), (5,10)}
• {(2,4), (9,18), (8,16), (5,10)}
• {(2,4), (9,18), (8,18), (5,10)}

Tags

CCSS.HSF-BF.B.4C

Tags

CCSS.HSF-BF.B.4A