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)

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)}

The inverse has been reflected over which line?

• y = x

• y =1

• y = 0

• y = x + 1

The inverse has been reflected over which line?

• y = x

• y =1

• y = 0

• y = x + 1

Will the inverse of this function, be a function?

• No

• Yes

• No way to tell

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

• -32

• -34

• 17

• 19

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

• -4

• 41

• 32

• -6

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

• -2

• 16

• 20

• -7

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

• -35

• -40

• 9

• 4