Question

find the domain and range of the following function:

Answer 1

domain of all will be all real
i) x^2-4 grater than / equal to 0
(x+2)(x-2)grater than / equal to 0
by sign scheme range will be (-infinty , -2] union [2, infinity)
ii). 16-x^2 grater than / equal to 0
(4-x)(4+x)grater than / equal to 0
by sign scheme range will be [-4,4]
iii).9-x^2>0
(3+x)(3-x)>0
by sign scheme (-3,3)  

Answer 2

Here is your answer

Hope this helps you