Question

Domain and range of f(x) |x-3| / x-3 are respectively

(1) R, [-1, 1]

(2) R - {3}, {1, -1}

(3) R^+,R

(4) None of these​

Answer 1

Step-by-step explanation:

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>3

x<3

∴Range ={−1,1}.