SOLUTION: Let f(x)=−9+9⋅log2(−x−3).Find the domain and range of f(x).

Algebra ->  Functions -> SOLUTION: Let f(x)=−9+9⋅log2(−x−3).Find the domain and range of f(x).      Log On


   

Question 378140: Let f(x)=−9+9⋅log2(−x−3).Find the domain and range of f(x).
Answer by stanbon(75887) About Me  (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
-----------------------------------------------
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.
=========================
graph%28400%2C300%2C-10%2C20%2C-10%2C20%2C-9%2B9%28ln%28-x-3%29%2Fln%282%29%29%29
-----------------
Cheers,
Stan H.