SOLUTION: Two functiona f and g are defined by f : x maps to 1/x+1 and g : x maps to x/x-2. Find the values of x for which f(x) = 10g(x)

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Question 1182953: Two functiona f and g are defined by f : x maps to 1/x+1 and g : x maps to x/x-2. Find the values of x for which f(x) = 10g(x)
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


f%28x%29=1%2F%28x%2B1%29
g%28x%29=+x%2F%28x-2%29

f(x) = 10*g(x):

1%2F%28x%2B1%29=10%28x%2F%28x-2%29%29

Multiply everything by the least common denominator

x-2=10x%28x%2B1%29
x-2=10x%5E2%2B10x
10x%5E2%2B9x%2B2=0
%285x%2B2%29%282x%2B1%29=0

x=-2/5 and x=-1/2