Function operations and inverses

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

What is the inverse of the function f(x) = 2x-5

• f⁻¹(x) = ½x+5
• f⁻¹(x) = ½x+⁵/₂
• f⁻¹(x) = x+⁵/₂
• f⁻¹(x) = ½x-⁵/₂

Tags

CCSS.HSF-BF.B.4A

Let
f(x) = -2x+2
g(x) = 2x²+9
Evaluate: (f∘g)(2)

• -32
• -34
• 17
• 19

Tags

CCSS.HSF-BF.A.1C

Let 
f(x) = 5-x
g(x) = 4x²+4
Evaluate: (g∘f)(7)

• -2
• 16
• 20
• -7

Tags

CCSS.HSF-BF.A.1C

are these inverse functions?

• no
• yes
• no way to tell

Tags

CCSS.HSF-BF.B.4B

If a function has the point (4,-2) then its inverse must have which point?

• (-4,-2)

• (-4,2)

• (-2,4)

• (2,-4)

Tags

CCSS.HSF-BF.B.4C

f(x) = 3x² - 2x + 1 and g(x) = x - 4. What restrictions, if any, are there for f(x)/g(x)?

• no restrictions
• x ≠ -4
• x ≠ 4
• x ≠ 0

Tags

CCSS.HSF-BF.A.1B

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

• x
• f(x)
• 1
• 0

Tags

CCSS.HSF-BF.B.4B

Which one is the same as fοg(x)

• g(f(x))

• f(g(x))

Tags

CCSS.HSF-BF.A.1C