Graphs
Tables
Equations
Combination Graphs/Tables/Equations
Real World
100
Find f(g(-1)).
-1
100
Find g(f(2)).
0
100
Find (f-g)(x) given
sqrt(x+2)-2x+3
100
Find h(f(1)) when h(x)=3x.
15
100
If P(t) represents the population of a country at a time t and H(t) represents the amount of money spent nationally on healthcare at a time t, interpret the meaning of (H(t))/(P(t)) .
Average amount of money spent on health care per person at a time t.
200
Find g(f(5)).
4
200
Find f(g(2)).
11
200
Find (f+g)(x) given
x^2+2x-1
200
Find f(h(0)) given f(x)= 2x^2 and
72
200
If S(C) represents the number of sales as a function of the number of customers, and C(t) represents the number of customers as a function of time in months, where t=0 represents January, interpret S(C(t)).
S(C(t)) gives the number of sales in a specific month.
300
Find (f(g(7)).
1
300
Find g(f(3)).
0
300
Find g(f(x)).
x^2-2x+3
300
Find h(f(3)) given f(x)=25-10x and
12
300
The volume of a balloon is given by V(r) and the radius increases with time (in seconds) given by r(t). Find and interpret V(r(t)).
V(r)=4/3pir^2
r(t)=1/2t^3
1/3pit^6
400
Find (g(g(5)).
2
400
Find f(f(3)).
7
400
Find f(g(x)) given
sqrt(2x-1)
400
Find f(h(3)) when h(x)=
x^2-4x
1
400
sqrt(-1/5x+200)/10+400
500
Find (g(f(f(5))).
3
500
Find f(g(g(1))).
3
500
Find f(g(x)) given
(2x-2)/x
500
Find j(h(g(1))) given j(x)=9x-45 and
45
500
If F(S) represents fuel economy (miles per gallon) as a function of speed (miles per hour) and S(t) represents the distance traveled (miles) as a function of time (hours), write a composite function that represents the fuel economy for the trip as a function of time.
F(S(t))