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Explanation & Answer
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(1) f ( −3− ) = ( −3) − 2 = −1 − 2 = −3
1
3
+
f ( −3 ) = −3 + 4 = 1
f ( 0− ) = 0 + 4 = 2
f ( 0+ ) = 0 − 2 = 2
f ( −3) = 5
The graph of f ( x ) is shown below:
From the graph of f ( x ) ,
Domain : ( −, )
Range : ( −, −3)
x-intercpet : ( 2, 0 )
0, )
y-intercpet : ( 0, 2 )
( 2) ( a ) f ( x ) =
x+3
x+3
=
x − 5 x − 6 ( x − 6 )( x + 1)
2
For fomain : x + 3 0 and ( x − 6 )( x + 1) 0
x −3 and x −1, 6
Domain : −3, −1)
( −1, 6 ) ( 6, )
( b ) f ( x ) = ln ( 4 x − 9 )
For fomain : 4 x − 9 0 4 x 9 x
9
Domain : , �...