Essential Skills Chapter 6
1. Finding composite functions and their domains Section 6.1
Example: For 
and 
, find 
and itŐs domain.
Answer: 
, domain = 
2. Finding inverse functions Section 6.2
Example: For 
, find 
.
Answer: 
3. Graphing exponential functions Section 6.3
Example: Sketch the graph of 
.
Answer: 
4. Graphing logarithmic functions Section 6.4
Example: Sketch the graph of 
.
Answer: 
5. Simplifying expressions involving logarithms Section 6.5
Example: Write as a single logarithm. 
Answer: 
6. Solving logarithmic equations Section 6.6
Example: Solve. 
Answer: 
7. Solving exponential equations Section 6.6
Example: Solve. 
Answer: 
8. Modeling using exponential functions Section 6.8
Example: A population of bacteria obeys the law of uninhibited growth. If 600 bacteria are present initially and there are 800 after one hour,
a. Express the population P as a function of time t.
b. How long will it be until the population doubles? (Write an exact answer.)
Answer: a.
b. 
hours