Solve the following inequality for the given function f(x): f(x) = (x^2 + 1)(-2 - 3x^2) a. f(x) > 0 b. f(x) ≥ 0 c. f(x) < 0 d. f(x) ≤ 0 Thank you for any help, I appreciate it!
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Here is a hint x²+1 > 0 for all x real 3x² + 2 > 0 for all x real
Do I graph the function and take the answers from the graph?
No 'cause running-gag's hint is the best hint you'd ever get. $\displaystyle f$ is $\displaystyle -\left( x^{2}+1 \right)\left( 3x^{2}+2 \right),$ and those factors are always positive, hence $\displaystyle f<0$ for all $\displaystyle x.$
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