SOLUTION: Find (fog)(x), where f(x)=√x and g(x)=1/x

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Find (fog)(x), where f(x)=√x and g(x)=1/x      Log On


   

Question 194473: Find (fog)(x), where f(x)=√x and g(x)=1/x
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: %28fog%29%28x%29=f%28g%28x%29%29


f%28x%29=sqrt%28x%29 Start with the first function.


f%28g%28x%29%29=sqrt%281%2Fx%29 Plug in g%28x%29=1%2Fx


f%28g%28x%29%29=1%2Fsqrt%28x%29 Break up the root and simplify


f%28g%28x%29%29=sqrt%28x%29%2Fx Rationalize the denominator