Question

domain and range of f(x) = |x-3| / x-3 is​

Answer 1

Answer:

THIS IS A SIGNUM FUNCTION

Step-by-step explanation:

WHEN X>3.

$f(x) = \frac{x - 3}{x - 3} = 1$

WHEN X<3

$f(x) = \frac{ - (x - 3)}{x - 3} = - 1$

WHEN X=3

$f(x) = 0$

domain is R

range is [–1,0,1]

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Answer 2

Step-by-step explanation:

THIS IS A SIGNUM FUNCTION

Step-by-step explanation:

WHEN X>3.

f(x) = \frac{x - 3}{x - 3} = 1f(x)=

x−3

x−3

=1

WHEN X<3

f(x) = \frac{ - (x - 3)}{x - 3} = - 1f(x)=

x−3

−(x−3)

=−1

WHEN X=3

f(x) = 0f(x)=0

domain is R

range is [–1,0,1]