Question

domain and range of f(x) =√25-x²

Answer 1

f(x) is not defined when 25 -x² < 0

25 - x² < 0

x² > 25

x > ±5

So, f(x) is not defined for x > ± 5

Domain of the function is [-5 , 5 ]

Range of the function [ 0 , 5 ]