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If the order is reversed when composing two functions, can the result ever be the same as the answer in the original order of the composition? If yes, give an example. If no, explain why not.
Yes. Sample answer: Let
Then
and
So
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Algebraic
For the following exercises, determine the domain for each function in interval notation.
Given
and
find
and
domain:
domain:
domain:
domain:
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Given
and
find
and
domain:
domain:
domain:
domain:
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Given
and
find
and
domain:
domain:
domain:
domain:
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For the following exercise, find the indicated function given
and
-
-
-
-
-
a. 3; b.
c.
d.
e.
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For the following exercises, use each pair of functions to find
and
Simplify your answers.
For the following exercises, use each set of functions to find
Simplify your answers.
Given
and
find the following:
-
- the domain of
in interval notation
-
- the domain of
-
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Given
and
find the following:
-
- the domain of
in interval notation
a.
b.
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Given functions
and
state the domain of each of the following functions using interval notation:
-
-
-
a.
b.
c.
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Given functions
and
state the domain of each of the following functions using interval notation.
-
-
-
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For the following exercises, find functions
and
so the given function can be expressed as
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Source:
OpenStax, Algebra and trigonometry. OpenStax CNX. Nov 14, 2016 Download for free at https://legacy.cnx.org/content/col11758/1.6
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