Question

Find the domain and range of f(x) = | x-1| /x-1.
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Answer 1

Answer:

F x domain and range

Step-by-step explanation:

A domain refers to "all the values" that go into a function. The domain of a function is the set of all possible inputs for the function. Consider this box as a function f(x) = 2x . Inputting the values x = {1,2,3,4,...}, the domain is simply the set of natural numbers and the output values are called the range.

Answer 2

Answer:

D(F)= R-{1}

Range= {1 , -1}

Step-by-step explanation:

For domain:

here,

=X-1 is not equal to zero

= D(F)=R-{1}

For range

Here,

case-I

|X-1|= X-1 If X-1 is greater or equal to zero

so, y= |X-1|/) / X-1

= (X-1) / (X-1)

=1

Also,

|X-1| = -(X-1) If X-1 is smaller or equal to zero

so, y = -(X-1) /(X-1)

= -1

Hence, range= {1 ,-1}