Give the domain of the following functions. Give your answer in interval notation. a) f(x)= 5x-2/x^2-5x+6 and b) square root of 5-2x

Answer 1

a) f(x) = (5x-2)/((x-2)(x-3)) , the brackets are essential.

domain: any real number , except x=2, x=3

b) f(x) = √(5-2x)
we can't take the square root of a negative, so
5-2x ≥ 0
-2x ≥ -5
x ≤ 5/2