Math
posted by beanstalk1 on .
Give the domain of the following functions. Give your answer in interval notation. a) f(x)= 5x2/x^25x+6 and b) square root of 52x

a. F(x) = (5x2)/(x^25x+6)
F(x) = (5x2)/(x2)(x3).
Any value of x that causes a zero
denominator is outside of the domain.
X = 2 and X = 3 will cause the denominator to be o. Therefore, they are outside of the domain.
Domain: All real values of X except 2, and 3.
b. Sqrt(52x).
Any value of X that causes the radical to go negative is outside the domain.
2x > 5.
X > 5/2
X > 2.5 is outside of domain.
Domain: X <= 2.5. Or 2.5 > X =2.5.