Question

find the domain of the rational function

  -2(x^2-4)  divided by  3(x^2+4x+4)

Answer 1

x^2 + 4x + 4 =  0

( x + 2 )^2 = 0

x+ 2 = 0

x = - 2

d = (  - infinitive  to -2 ) U (  - 2 to +  infinotive )

Comments

Very good.  This is what I've come up with.  I use this site to confirm or correct what I come up with, otherwise I'd feel I was cheating if I didn"t try.

Answer 2

x+3/(x2-4)radicand x

write domain of the function

Answer 3

The following rational function models the speed V(t), in miles per hour , of a dragster t seconds since it starts it quarter - mile run:

V(t) = 340t/t2 + 3

What is the absolute maximum speed of the dragster on the interval {0,4} and at what time in the first 4 seconds of its run does it occur? round you mazimum speed to two decimal place.