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GRAPHS AND FUNCTIONSDomain of a rational function: Interval notationThe functionsfand g are defined as follows.x+ 4f(x)=2.x-162g (x)For each function, find the domain.Write each answer as an interval or union of intervals.Domain of f|||(O) (0.ODOUODomain of g : ||?X

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GRAPHS AND FUNCTIONS
Domain of a rational function: Interval notation
The functionsfand g are defined as follows.
x+ 4
f(x)
=
2.
x-16
2
g (x)
For each function, find the domain.
Write each answer as an interval or union of intervals.
Domain of f
|||
(O) (0
.OD
OUO
Domain of g : ||
?
X
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GRAPHS AND FUNCTIONS Domain of a rational function: Interval notation The functionsfand g are defined as follows. x+ 4 f(x) = 2. x-16 2 g (x) For each function, find the domain. Write each answer as an interval or union of intervals. Domain of f ||| (O) (0 .OD OUO Domain of g : || ? X

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Step 1

The domain of the function is set of all possible values of x where the function is defined.

Step 2

Find the domain of t...

x + 4
Find the domain of J (X)x2-16
Find the points which the function is undefined or singular points
Equate the denominator to zero.
x2-16 0
(x+4)(x-4) 0
x=-4,4
The function is undefined at x--4 and 4
Therefore, the domain of the function is x-4 or -4 <x<4 or x >4
Activate W
(0,-4)(-4,4)J(4,0)
That is, the interval notation
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x + 4 Find the domain of J (X)x2-16 Find the points which the function is undefined or singular points Equate the denominator to zero. x2-16 0 (x+4)(x-4) 0 x=-4,4 The function is undefined at x--4 and 4 Therefore, the domain of the function is x-4 or -4 <x<4 or x >4 Activate W (0,-4)(-4,4)J(4,0) That is, the interval notation Go to Settings

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