Pre-Calculus 2.04 Composing Functions

Question 1:
Which of the following would not be a possible function for f(x) and g(x) that (f • g)(x)= 8/x^2 + 4

A) f(x)= 8/x^2 + 4 and g(x)=x

B) f(x)= 4/x + 4 and g(x)=x^2/2

C) f(x)= 8/x + 4 and g(x)=x^2

D) f(x)= 8/x + 4 and g(x)=1/x^2

Question 2:
A clothing store offers customers a holiday sale of 25% off the price of x items. A customer then had an additional 10% off coupon that can be used when checking out. Which of the following functions represents the final price P(x) of the items purchased?

A) P(x)=0.025x
B) P(x)=0.15x
C) P(x)= 0.35x
D) P(x)=0.675x

Question 3:
Determine the domain and range of (g • f)(x) if f(x)= 9 / x^2 - 9 and g(x) = x+3

A) D: {x E R}: and R:( negative infinity,-3) U (3, positive infinity)
B) D: {x E R| x does NOT equal -6,0} and R:(negative infinity,-3) U (3,positive infinity)
C) D: {x E R| x does NOT equal -3,3} and R:(negative infinity,2) U (3,positive infinity)
D) D: {x E R| x does NOT equal -6,-3,0,3) and R:(negative infinity,-2) U (2, positive infinity)

Question 4:
A restaurant’s delivery person can determine the number of miles he can drive in x hours by the function f(x)=x^2+2x. The number of gallons that a delivery person uses for driving y miles can be determined by the function g(y)= y/20. If the delivery person works a 8 hours shift, how many gallons of gasoline will he need for his tank?

A)3
B)4
C)5
D)6

Question 5:
Giving the following table with the selected values of f(x) and g(x) evaluate f(g(3))

X -4 -3 0 3 5 8
F(x) 1 3 8 0 -5 -3
G(x) -7 0 3 5 8 2

(#/# means are fractions NOT DIVISION symbols for these questions)