Question

Find the domain and range of the

function f(x)=1/root 25-x^2​

Answer 1

Answer:

f(x)=25−x2

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]