Question

Question on about functions: How do I solve?
If f(x)=3/x and g(x)=2/x-1, determine domain of (f/g)(x).

Answer 1

If you solve for the expression (f/g)(x),
You should get: (3x-3)/2x.
Your domain would be where the denominator is not equal to zero.
Therefore solve the equation:
2x = 0
x = 0.
So the domain is all values of x such that x is not equal to zero.
Which could be written as:
(negative infinity, 0) U (0 , positive infinity).

Answer 2

thank you for your reply! how did you get the (3x-3)/2x? did you multiply both fractions by something?

Answer 3

No...
Divide f(x) by g(x)...
(3/x)/(2/(x-1))
Or similarly, multiply f(x) by the reciprocal of g(x)
(3/x)*((x-1)/2)

Answer 4

thank you again for your help, i really appreciate it!

Answer 5

Aite cool