Question

Find domain of function f(x) = √9 – x2​

Answer 1

Answer:

Domain and range 

f(x)=9−x2

y=9−x2

9−x2≥0

9−x2≥0

x2≤9

x≤−+3

x∈[−3,3]

y2=9−x2

x2=9−y2

x=9−y2

9−y2≥0

y2≤9y∈3,−3

y=+ve

∵y∈[0,3]