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Asked Sep 26, 2019
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GRAPHS AND FUNCTIONS
Domain of a rational function: Interval notation
The functions fand g are defined as follows.
х-2
f(x)
2
x-4
X
g (x)
2
x 36
For each function, find the domain.
Write each answer as an interval or union of intervals.
-Oo
Domain off W
(O) (0
O,O)D
Domain of g:
?
X
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GRAPHS AND FUNCTIONS Domain of a rational function: Interval notation The functions fand g are defined as follows. х-2 f(x) 2 x-4 X g (x) 2 x 36 For each function, find the domain. Write each answer as an interval or union of intervals. -Oo Domain off W (O) (0 O,O)D Domain of g: ? X

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Expert Answer

Step 1

It is known that the domain is the set of all values of x for which the function f(x) is defined.

Now, Consider the given function:

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x-2 f(x) 4

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Step 2

Clearly, the function will be undefined, when denominator will be zero, so for f(x) to be defined:

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x2 -4 0 4 x-2,2

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Step 3

Therefore, the domain of given function...

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(-9,-2)U(-2,2) (2.c)

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Math

Calculus

Functions