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a. Solve g(x) = -10 and g(x) > f(x) for the given equations f(x)=x^2 and g(x)=1/(x^3).

b. What kind of symmetry do the graphs of the equations f and g have?

c. What is the symmetry axis or point of axis for both graphs. 

 Feb 23, 2020
 #1
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Perhaps this graph will help you answer the questions:

 

 Feb 23, 2020
 #2
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Thanks, it does help with b and c but i'm just not quite sure how to tackle a.

Guest Feb 24, 2020
 #3
avatar+29249 
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Look at the dashed lines.  They intersect at the point where g(x) = -10.  The corresponding x-value is shown.

 

Solving for g(x)>f(x) means looking to find the range of x values for which the blue line is higher than the red line.

Alan  Feb 24, 2020
edited by Alan  Feb 24, 2020

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