Question

find the domain and range of the function f(x) =1-|x-2|​

Answer 1

Answer:

Explanation:

f(x)=1x−2−−−−−√

Domain of f (x) :

f (x) is defined if x−2>0 ⇒ x>2

∴ Domain of f(x)={x:x∈Randx>2}=(2∞).

Range of f (x) :

Atx>2

f(x)=1x−2−−−−−√>0

⇒ f(x)>0

∴Range off(x)={x:x∈R,x>0}=(0,∞).