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What are the domain restrictions of q^2−7q−8 divided by q^2+3q−4 ?q≠1 and q≠−8q≠−1 and q≠8q≠−1 and q...
4 months ago
Q:
What are the domain restrictions of q^2−7q−8 divided by q^2+3q−4 ?q≠1 and q≠−8q≠−1 and q≠8q≠−1 and q≠4q≠1 and q≠−4
Accepted Solution
A:
Factorize the polynomials individually;
q²-7q-8= (q-8)(q+1) <-- denominator
q²+3q-4= (q-1)(q+4)
When a number is divided by 0, it becomes indefinite (creating a hole in the graph).
(q-8)(q+1)=0
q=8
q=-1
Therefore, the second option.
Hope I helped :)