SOLUTION: Functions f and g are defined by f : x tends to x/(x-3) , x not equals 3, g : x tends to 3x+5. Find the value of x for which (f . g )^-1 (x) = 5/3.

Question 1095376: Functions f and g are defined by f : x tends to
x/(x-3) , x not equals 3, g : x tends to 3x+5. Find the value of x for which (f . g )^-1 (x) = 5/3.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

I will assume that by "(f.g)^-1(x)" you mean the inverse of the composition of functions f and g; that is,

In that case, the problem is asking you to find the input value x for which

Then

Check:

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