# SOLUTION: Find an equation for the inverse of y=2x^2-3. Identify the domain and range of each equation.

Algebra ->  Algebra  -> Inverses -> SOLUTION: Find an equation for the inverse of y=2x^2-3. Identify the domain and range of each equation.      Log On

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

 Algebra: Inverse operations for addition and multiplication, reciprocals Solvers Lessons Answers archive Quiz In Depth

 Question 185447This question is from textbook saxon algebra 2 : Find an equation for the inverse of y=2x^2-3. Identify the domain and range of each equation.This question is from textbook saxon algebra 2 Answer by jim_thompson5910(28595)   (Show Source): You can put this solution on YOUR website!There's a problem here: the equation has no inverse over the domain . However, if we restrict the domain to be [), then we can find the inverse. So... Domain: [) Range: [) Start with the given equation. Switch each "x" and "y". The goal is to now solve for "y" Add 3 to both sides. Divide both sides by 2. Rearrange the equation Take the square root of both sides. Note: since we made the domain [), this means that we're only dealing with the positive square root. So the inverse equation is where the domain and range is simply flipped: Domain: [) Range: [)