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.
Perhaps this graph will help you answer the questions:
Thanks, it does help with b and c but i'm just not quite sure how to tackle a.
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.