SOLUTION: Find the domain of the function algebraically and write it using interval notation: f(x)=x/(x^2-7x)

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Question 912230: Find the domain of the function algebraically and write it using interval notation: f(x)=x/(x^2-7x)
Found 2 solutions by richard1234, lwsshak3:
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
All x except 0 or 7 (otherwise the denominator is zero).

Domain =

This can also be written as (all reals except 0, 7).

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the domain of the function algebraically and write it using interval notation: f(x)=x/(x^2-7x)
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denominator≠0
To find restrictive values of x, set denominator=0 and solve for x
x^2-7x=0
x^2=7x
x=±√(7x)
domain: (-∞,-√(7x) U (√(7x),∞)