I have knowledge about the domail and range of a function but sometimes it is confusing for me to calculate the domain and range of a function(without using any software)
1. f(x) = (x^2 - 3x + 2)/(x + 1) , x <> -1
Dom f = R - [-1] and
Range f = R - (-5 -2*sqrt(6),-5+2*sqrt(6))
2. g(x) = 6x + 7 when x <= -2
= 4 - 3x when -2 < x
Dom g = Real Set
Range g = (-ve infinity, 10)
The above are two sample question. i want to understand how calculate the domain and especially range of a function.
Is there any software to just verify the answer.