In a particular county, the population fo the two largest cities can be modeled by f(x)=200x+25 and g(x)=175x-15, where x is the number of years since 2000 and the population is in thousands.
Question 1
1.
What is the population of the two cities combined after any number of years?
Question 2
2.
How much larger is the largest city?
Notes L6-1b: Composition of Functions
Question 3
3.
What does
mean?
Question 4
4.
What does
mean?
Given:
f(x)=5x
g(x)=-2x+1
h(x)=x^{2}+6x+8
Evaluate [5], [6], [7]:
Question 5
5.
f[g(-2)]
Question 6
6.
g[g(3)]
Question 7
7.
h[f(-5)]
Question 8
8.
What does
mean?
Question 9
9.
f(x)=2x
g(x)=x+5
Evaluate [f ∘ g]
Question 10
10.
f(x)=2x
g(x)=x+5
Evaluate [g ∘ f]
Question 11
11.
f(x)=x-4
g(x)=x^{2}-10
Evaluate [f ∘ g]
Question 12
12.
f(x)=x-4
g(x)=x^{2}-10
Evaluate [g ∘ f]
f(x)=x+5
g(x)=3x-7
Question 13
13.
Evalutate [f ∘ g]
Question 14
14.
Evaluate [g ∘ f]
Question 15
15.
Evaluate (f \cdot g)
Question 16
16.
What does the following mean? How would you evaluate it?