Question

find the domain and range of the function f(x)=1÷√25-x2​

Answer 1

Step-by-step explanation:

For the function to be defined, the expression inside the root must be greater than to equal to 0.

25−x2≥0

x2≤25

∣x∣≤5

−5≤x≤5

The domain of 

f(x)=[−5,5]

When x=±5,f(x)=0

When x=0,f(x)=5, this is maximum value.

The range is R=[0,5]