Question

2.
Find the domain and range of the following real functions:
f(x) =√9-xsquare​

Answer 1

Answer:

Answer

f(x)=

9−x

2

For existance of f,9−x

2

≥0

⇒(x−3)(x+3)≤0

⇒x∈(−3,3)

Values of f(x)=

9−(−3,3)

2

=

9−(0,9)

=

(0,9)

=(0,3)

Domain =(−3,3) and Range =(0,3)