harpazo
Full Member
- Joined
- Jan 31, 2013
- Messages
- 891
Find domain of g(t) = 5t/(t^3 - 16t).
Solution:
Set denominator equal to 0 and solve for t.
t^3 - 16t
t(t^2 - 16)
t(t - 4)(t + 4) = 0
t = 0, t = -4, t = 4.
Let d = domain
d = {t | t = all real numbers except that t cannot be 0, -4 and 4}.
Interval Notation
(-00, -4) U (-4, 0) U (0, 4) U (4, 00)
Is this right?
Note: -00 = negative infinity, 00 = positive infinity in my interval notation.
Solution:
Set denominator equal to 0 and solve for t.
t^3 - 16t
t(t^2 - 16)
t(t - 4)(t + 4) = 0
t = 0, t = -4, t = 4.
Let d = domain
d = {t | t = all real numbers except that t cannot be 0, -4 and 4}.
Interval Notation
(-00, -4) U (-4, 0) U (0, 4) U (4, 00)
Is this right?
Note: -00 = negative infinity, 00 = positive infinity in my interval notation.