Question

f(x) = х^2\(9-x) find domain​

Answer 1

Domain and range

f(x)=

9−x

2

y=

9−x

2

9−x

2

≥0

9−x

2

≥0

x

2

≤9

x≤

−

+

3

x∈[−3,3]

y

2

=9−x

2

x

2

=9−y

2

x=

9−y

2

9−y

2

≥0

y

2

≤9y∈3,−3

y=+ve

∵y∈[0,3]