# Given #f(x)=1/(x-1)#, and #g(x)=2/x#, how do you find f(g(x))?

##### 1 Answer

Jun 4, 2017

#### Explanation:

To find f(g(x)), simply plug g(x) into x in the equation for f(x):

Simplify this by finding a common denominator for the denominator:

Simplify:

Clear the fraction by using keep-change-flip:

Simplify: