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