SOLUTION: Let f(x)=x+4/x-3 Find inverse function f^-1(x)

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Question 33647This question is from textbook College Algebra
: Let f(x)=x+4/x-3 Find inverse function f^-1(x) This question is from textbook College Algebra

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
+f%28x%29=%28x%2B4%29%2F%28x-3%29+
+y=%28x%2B4%29%2F%28x-3%29+
+y%28x-3%29=%28x%2B4%29+
+xy-3y=x%2B4+
+xy-3y-x=4+
+xy-x=4%2B3y+
+x%28y-1%29=4%2B3y+
+x=%284%2B3y%29%2F%28y-1%29+

so +f%28y%29=%284%2B3y%29%2F%28y-1%29+
or +f%28x%29=%284%2B3x%29%2F%28x-1%29+

and as this is the inverse function of the original, we can write:
+f%5E%28-1%29%28x%29=%284%2B3x%29%2F%28x-1%29+

You will need to quote the domain as well though.

jon.