Question 571838: For the given functions f, g , and h , find f o g and state the exact domain of f o g o h .
f(x) = e^x
g(x) = logx
h(x) = x/x + 8
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! For the given functions f, g , and h , find f o g and state the exact domain of f o g o h .
f(x) = e^x
g(x) = logx
h(x) = x/x + 8
**
g o h=log[x/(x+8)]
f o g o h=e^log[x/(x+8)]
Domain of exponential functions=all real numbers
However,log[x/(x+8)]>0, or x>0
Denominator ≠ 0, so x ≠ -8
Domain of f o g o h: (0,-8) U (-8,∞)
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