Determine the domain of the function (f o g)(x) where f(x)= 3/x+2 and g=5/x.
1 answer:
Answer:
The Domain is all real values of x except x = 0 and x = -2.5.
Step-by-step explanation:
I am assuming that f(x) = 3/(x + 2).
(f o g)x is found by substituting 5/x for the x in 3/(x + 2).
(f o g) x = 3/ ( 5/x + 2)
= 3 / ( 5+2x) / x
= 3x / (5 + 2x).
When finding the domain you first check for values of x which make g(x) undefined then values of x which make (f o g)(x) undefined.
x = 0 makes g(x) = 5/0 so it is undefined and x = -2.5 makes g o f undefined also.
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