# SOLUTION: determine where the graph of f is below the graph of g by solving the inequality f(x)&#8805; g(x). Graph f and g together. f(x)=x^4 g(x)=2-x²

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: determine where the graph of f is below the graph of g by solving the inequality f(x)&#8805; g(x). Graph f and g together. f(x)=x^4 g(x)=2-x²      Log On

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 Algebra: Rational Functions, analyzing and graphing Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Rational-functions Question 466205: determine where the graph of f is below the graph of g by solving the inequality f(x)≥ g(x). Graph f and g together. f(x)=x^4 g(x)=2-x²Answer by stanbon(57361)   (Show Source): You can put this solution on YOUR website!determine where the graph of f is below the graph of g by solving the inequality f(x)≥ g(x). Graph f and g together. f(x)=x^4 g(x)=2-x² --- Solve x^4 >= 2-x^2 Rearrange: x^4+x^2-2 >= 0 --- Let x^2 = w --- w^2+w-2 >= 0 --- Quadratic Formula: w = [-1 +- sqrt(1-4*1*-2)]/2 --------------- w = [-1 +- sqrt(9)]/2 -- w = [-1+3]/2 or w = [-1-3]/2 --- w = 1 or w = -2 ---- Then x^2 = 1 or x^2 = -2 (that would make "x" imaginary) --- So x >= +1 or x <= -1 ------------------------- Graph: ================================================= Cheers, stan H.