Solve the following problems
pertaining to
composite functions.
1.
Using
and
, find:
a. b. c. d.
2.
Using
and
,
find
and
.
Are these two answers the same? What does this information
tell you about compositions?
3.
Given
,
,
and
,
find
and
.
Are these two answers the same? What does this information
tell you about compositions?
4.
Given
,
,
and
find a.(Look out for this one!) b. c. d. e.
Are the answers for parts c
and d the same?
5.
Given
and
,
find
and .
6.
and
For what value of k is
?
7.
and
Find the domain of
.
8.
Which of the following statements
is ALWAYS true?
Choose:
9.
The formula
converts Celsius temperature to Kelvin.
The formula
converts Fahrenheit temperature to Celsius.
a. Write a
composite function that will convert Fahrenheit
temperature to Kelvin. b. Convert the boiling point
of water (212º F) and the
freezing point of water (32º F) to Kelvin.
10.
A math test has a bonus question. The
directions simply state that if you answer the question correctly
you will receive 5 bonus points and your test grade will be
increased by 7% of your score.
Let x
= test score before answering the bonus question.
a.
Write a function,
,
to represent just the 5 bonus
points. b. Write a
function,
,
to represent just the percent
of increase. c. Explain the
meaning of
d. Find
e. Explain the
meaning of
f. Find
g. Does
in this problem?
and
,
and
,
and
.
,
,
and
,
and
.
,
,
and 
(Look out for this one!)
and
, 
and 
.
and
?
and
.
converts Celsius temperature to Kelvin.
converts Fahrenheit temperature to Celsius.
,
to represent just the 5 bonus
,
to represent just the percent 
in this problem?
