SOLUTION: Use set notation to write the domain of the following function: f(x)= 2x+3/4x^2-14x-18

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Question 866772: Use set notation to write the domain of the following function:
f(x)= 2x+3/4x^2-14x-18
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=+%282x%2B3%29%2F%284x%5E2-14x-18%29
f%28x%29=+%282x%2B3%29%2F%282%28x%2B1%29%282x-9%29%29
So restrictions on the domain occur when,
x%2B1=0
x=-1
and
2x-9=0
2x=9
x=9%2F2
.
.
.
(-infinity,-1)U (-1,9%2F2)U (9%2F2,infinity)