SOLUTION: Hi, I'm having some trouble with compositions of functions with fractions. Here is the question: f(x) = (x-1)/(x-3) g(x) = (x-8)/(x-9) Find f(g(x)) Find g(f(x)) Thank yo

Question 360833: Hi, I'm having some trouble with compositions of functions with fractions.
Here is the question:
f(x) = (x-1)/(x-3)
g(x) = (x-8)/(x-9)
Find f(g(x))
Find g(f(x))
Thank you SO much!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Computing f(g(x))

Start with the given equation.

Plug in on the right side.

Plug in

Multiply EVERY term by the LCD to clear out the fractions.

Distribute.

Combine like terms.

I'll let you compute g(f(x))
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