SOLUTION: 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
Algebra.Com
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-x²
Answer by stanbon(75887) (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
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Solve x^4 >= 2-x^2
Rearrange:
x^4+x^2-2 >= 0
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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
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Graph:
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Cheers,
stan H.
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