Study Guide 3

f(x)=4x^(1/2)  g(x)=-9x^(1/2)Solve: f(x)-g(x)

• -5 square root of x
• 13 square root of x
• 36 square root of x
• -13 square root of x

f(x)=6x  g(x)=x^(3/4)Solve f(x) multiplied by g(x)

• 6x^(4/7)
• 4x^(4/7)
• 6x^(7/4)
• 5x^(3/4)

f(x)=2x-7      g(x)=x^2+4

Find g(f(3))

• 5
• -1
• 2
• 0

f(x)=4x^-1  g(x)=5x-2

Find f(g(x))

• No solution
• 4(5x-2)^-1
• 4/(5x-2)
• 5/(4x-2)

f(x)=4x^-1      g(x)=5x-2

Find f(f(x)) and state the domain

• 16x

  Domain: all reals
  

• 16x

  Domain: x does not equal to 0
  

• 24x^2

  Domain: x does not equal to 0
  

• 24x

  Domain: all reals
  

You have a $10 gift certificate. A store is having a 15% off entire purchase sale. You buy $30 of paint and $25 supplies.

Find the sale price when you use the $10 gift certificate before the 15% discount.

• $24.90
• $36.75
• $38.25
• $42.86

Find the inverse of (0,6), (1,4), and (2,2)

• (6,0), (4,1), (2,2)
• It is already the inverse.
• (0,1), (1,2), (6,4)
• (4,2), (2,0), (6,0)

Inverse functions have a reflection across the line _____.

• y=1/2x
• y=x^2
• y=2x
• y=x

Find the inverse of y=3x-5

• y=2x
• y=(x+5)/3
• y=5x-3
• y=8x-3

Is f^-1(x)=1/3x+5/3 the inverse of f(x)=3x-5

• Yes
• No