SOLUTION: prove that f(x)=2x^2-3 and g(x)= √((y+3)/2) are inverses of each other

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: prove that f(x)=2x^2-3 and g(x)= √((y+3)/2) are inverses of each other      Log On


   

Question 1040723: prove that f(x)=2x^2-3 and g(x)= √((y+3)/2) are inverses of each other
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
g%28f%28x%29%29=sqrt%28%28%282x%5E2-3%29%2B3%29%2F2%29

sqrt%28%282x%5E2-3%2B3%29%2F2%29

sqrt%28%282x%5E2%29%2F2%29

sqrt%28x%5E2%29

x-----------g of f works.


Now, try the same for composition f%28g%28x%29%29. Does this also return the input variable? If yes, then for certain, f and g are inverses.