SOLUTION: Can someone please help me step by step with the is problem? The directions are Determine whether the given function is one-to-one. If it is one-to-one, find a formula for the inve

Algebra ->  Inverses -> SOLUTION: Can someone please help me step by step with the is problem? The directions are Determine whether the given function is one-to-one. If it is one-to-one, find a formula for the inve      Log On


   

Question 1006215: Can someone please help me step by step with the is problem? The directions are Determine whether the given function is one-to-one. If it is one-to-one, find a formula for the inverse. The problem is f(x)=x-10/x+6.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Quick way to find inverse is say y=f(x); but then SWITCH places between x and y.

%28y-10%29%2F%28x%2B6%29=x
solve for y in terms of x...

y=%286x%2B10%29%2F%281-x%29--------this shows the inverse, but now you need to call the function by some other name; choose something. Say g%28x%29=%286x%2B10%29%2F%281-x%29 and that f(x) and g(x) are inverses.