SOLUTION: Let f(x)=−9+9⋅log2(−x−3).Find the domain and range of f(x).
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Question 378140: Let f(x)=−9+9⋅log2(−x−3).Find the domain and range of f(x).
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Let f(x)=−9+9⋅log2(−x−3).
Find the domain
-x-3 must be positive.
Solve -x-3 > 0
x < -3
Domain is All Real Numbers less than -3
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and range of f(x).
log2(-x-3) is asymptotic to x = -3 but ranges
over all Real Numbers. Multiplying by 9 and
subtracting 9 still leaves the range over
All Real Numbers.
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Cheers,
Stan H.
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