Question

21. If a real function f is defined by f(x) =
(Ix|-x) /2x
then find its domain and range.
​

Answer 1

Step-by-step explanation:

function f is defined by f(x) = |x - 1|

f(x) is modulus function. so, first we have to break modulus .

case 1 :- when x ≥ 1

f(x) = x - 1

case 2 :- when x < 1

f(x) = 1 - x

now, domain of function belongs to all real numbers because there is no any point where function is undefined.

range of function belongs to all real numbers greater than or equal to 0. because for all value of x , f(x) will be positive.

hence, Domain

Range \in\mathbb{R}^+\cup\{0\}∈R

+

∪{0}

Hope you understand

Answer 2

Answer:

1. tell me the set where f is defined