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Question 678931: Please help me solve for range and domain f(x)= 2 over x squared-x-12
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! solve for range and domain f(x)= 2 over x squared-x-12
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f(x) = 2/[x^2-x-12]
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Factor:
f(x) = 2/[(x-4)(x+3)]
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Domain is ?
The denominator cannot be zero,
so, x cannot be 4 and cannot be -3
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Domain is "All Real Numbers except x = 4 and x = -3".
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Range is ?
There are vertical asymptotes at x = -3 and at x = 4.
and a horizontal asymptote at x = 0
so Range is "All Real Numbers except y = 0".
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Cheers,
Stan H.
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