SOLUTION: given f(x)= x/2-x and g(x)=3/x how do find (fog)(x)

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Question 325092: given f(x)= x/2-x and g(x)=3/x
how do find (fog)(x)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: (f o g)(x) = f(g(x))


f%28x%29=x%2F%282-x%29 Start with the first function.


f%28g%28x%29%29=%283%2Fx%29%2F%282-3%2Fx%29 Plug in g%28x%29=3%2Fx


f%28g%28x%29%29=%283%29%2F%282x-3%29 Multiply EVERY term on the right side by the inner LCD 'x' to clear out the inner fractions.


So the solution is f%28g%28x%29%29=%283%29%2F%282x-3%29