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

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

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

• 7x³-5x^{2
  D: all real #'s}
• 7x³+5x^{2
  D: [0, infinity)}
• 7x³-5x^{2
  D: [0, infinity)}
• 7x³+5x^{2
  D: all real #'s}

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 in the given coordinates {(18,6), (6,2), (27,9), (21,7), (15,5)}

• {(6,18), (2,6), (9,27), (7,22), (5,15)}
• {(6,18), (6,2), (9,27), (7,21), (5,15)}
• {(6,18), (2,6), (9,27), (7,21), (5,15)}
• {(6,18), (2,6), (9,27), (7,21), (15,15)}

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) = -2x+2
g(x) = 2x²+9
Evaluate: (g∘f)(3)

• -4
• 41
• 32
• -6

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

Let 
f(x) = 5-x
g(x) = 4x²+4
Evaluate: (f∘g)(3)

• -35
• -40
• 9
• 4

Tags

CCSS.HSF-BF.A.1C