SOLUTION: Find the inverse: f(x)= 2 + 1 / -x-3

Algebra ->  Finance -> SOLUTION: Find the inverse: f(x)= 2 + 1 / -x-3      Log On


   



Question 1135930: Find the inverse:
f(x)= 2 + 1 / -x-3

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Find the inverse:
f%28x%29=+2+%2B+1+%2F%28+-x-3%29->I guess you have this
since
f%28x%29=+y, we have
y=+2+%2B+1+%2F%28+-x-3%29.........swap x and y
x=+2+%2B+1+%2F%28+-y-3%29.......solve for y
x-2=++1+%2F%28+-y-3%29
+-y-3=++1+%2F%28x-2%29
+-y=++1+%2F%28x-2%29%2B3.............both sides multiply by -1
+y=++-1+%2F%28x-2%29-3

your inverse is: f%5E-1%28x%29=+-1+%2F%28x-2%29-3