Question

16. Find the domain and range of following
functions
a) f (x)=√x+2​

Answer 1

☯ Given,

• Fuction, f(x) = √x + 2

☯ To Find,

• Domain & Range.

☯ Solution,

Fuction, f(x) = √x + 2 (Given)

✔Domain,

⇒√x + 2

⇒ x + 2

⇒ x ≥ -2

⇒ x € R

.°. Domain = [-2 , +∞]

✔Range,

⇒ f(x) is maximum at x = 0, f(x)= -2

⇒ And f(x) is minimum at x = -2 , f(x)=0

.°. Range = [-2 , 0]

Answer 2

Answer:

it is given function is a real function

hence both domain and range should be real

hence the value of domain is >= -2

the value of range is >=0