SOLUTION: Find the domain and write answers in interval notation: a) m(x)=x-1/x-4

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Question 493954: Find the domain and write answers in interval notation:
a) m(x)=x-1/x-4

Found 2 solutions by stanbon, lwsshak3:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the domain and write answers in interval notation:
a) m(x)=x-1/x-4
---
Vertical asymptote at x = 4
Horizontal asymptote at y = 1
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Domain: All Real Numbers except x = 4
Range: All Real Numbers except y = 1
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graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28x-1%29%2F%28x-4%29%29
=========================================
Cheers,
stan H.

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the domain and write answers in interval notation:
a) m(x)=x-1/x-4
**
The denominator in a rational expression which this is, cannot be equal to zero, so we set it to zero and find out which value of x it cannot be.
x-4=0
x≠4
in interval notation:
(-∞,4) U (4, ∞)
..
number line
<=====)4(=====>