SOLUTION: For the given functions f, g and h, find f○g○h and state the exact domain of f○g○h. Please show all of your work.
f(x) = 1/x
g(x) - lnx
h(x) = 2x+15
Algebra.Com
Question 534463: For the given functions f, g and h, find f○g○h and state the exact domain of f○g○h. Please show all of your work.
f(x) = 1/x
g(x) - lnx
h(x) = 2x+15
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
(x)\ =\ f\left(g\left(h(x)\right)\right)\ =\ \frac{1}{\ln\left(2x\ +\ 15\right)})
The 
function cannot have an argument less than or equal to zero, so solve 
to find a set of values to be excluded from the domain. 
cannot have a zero in the denominator. Since \ =\ 0)
, the value of 
that makes 
must be excluded from the domain.
John
My calculator said it, I believe it, that settles it
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