domain and range of f(x)=|x|-3
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Domain and range of f(x) = ...
MATHS
Domain and range of f(x)=
x−3
∣x−3∣
are respectively
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ANSWER
f(x)= x−3∣x−3∣
x−3
=0 (Denominator cannot be zero)
⇒x
=3
∴ Domain: R−{3}
f(x)= ⎩⎪⎪⎨⎪⎪⎧
(x−3)
(x−3)
=1;
−
x−3
(x−3)
=1;
x>3
x<3
∴f(x)={ 1;−1;x>3x<3
∴Range ={−1,1}.
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