Solve Inequality: f(x)=1-x-x3, 1-f(x)-f3(x)>f(1-5x)

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SUMMARY

The inequality to solve is 1 - f(x) - f3(x) > f(1 - 5x), where f(x) = 1 - x - x³. The user initially struggled with substituting f(x) directly into the inequality but later resolved the problem independently. The key to solving this inequality involves manipulating the function f(x) and understanding the behavior of f3(x), which is the third derivative of f(x).

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Homework Statement


Let f(x)=1-x-x3. Find all the real values of x satisfying the inequality, 1-f(x)-f3(x)>f(1-5x).

Homework Equations


The Attempt at a Solution


I honestly don't know how to start with this one. Substituting f(x) directly in the inequality doesn't look like a good idea. I need a few hints to begin with.

Any help is appreciated. Thanks!
 
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Problem solved. Sorry for the trouble, I should have thought upon it some more.
 

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