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Asked Sep 25, 2019
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GRAPHS AND FUNCTIONS
Domain of a rational function: Interval notation
The functions fand g are defined as follows.
x5
f(x)
2
x 1445
2
х
g (x)
х-7
For each function, find the domain.
Write each answer as an interval or union of intervals.
OO
Domain of f
|
(D.D)
.O)D
OUO
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. x5 f(x) 2 x 1445 2 х g (x) х-7 For each function, find the domain. Write each answer as an interval or union of intervals. OO Domain of f | (D.D) .O)D OUO Domain of g | ? X

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Expert Answer

Step 1

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

Step 2

f(x) is defined for all real values of x except for x=-9.So, domain is set of all real numbers except -9

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x5 1 J (x)= 14x + 45 (x+5)(x+9) D(f) R--9= (0,-9)U(-9,0) x+9

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Step 3

g(x) is defined for all real values of x except for x=7.So,...

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2 g(x) 7 D(g) R-{7(,7)U(7,)

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Calculus