Question

Find the requested function and state domain.
Find f·g, for f(x)=1/x-5 and g(x)= 7/x

Answer 1

We have the following functions:
f (x) = 1 / (x-5)
g (x) = 7 / x
Multiplying the functions we have:
f · g = (1 / (x-5)) * (7 / x)
Rewriting:
f · g = (7 / x (x-5))
f · g = (7 / (x ^ 2-5x))
The domain of the function is:
All reals less:
x = 0
x = 5
Answer:
f · g = (7 / (x ^ 2-5x))
The domain of the function is:
All reals less:
x = 0
x = 5