SOLUTION: the inverse of f(x)=k(x^3+x-2) is a function and f^-1(-12)=-1. What is the value of k?

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: the inverse of f(x)=k(x^3+x-2) is a function and f^-1(-12)=-1. What is the value of k?      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 185284: the inverse of f(x)=k(x^3+x-2) is a function and f^-1(-12)=-1. What is the value of k?
Answer by vleith(2825) About Me  (Show Source):
You can put this solution on YOUR website!
Is the inverse function yields -1 when given -12 as input, then the original function yields -12 when given -1 as input.
So
f%28x%29=k%28x%5E3%2Bx-2%29
-12+=+k%28%28-1%29%5E3+-1+-+2%29
-12+=+k+%28-4%29
k+=+3