If $$f(x)=ax^4-bx^2+x+5$$ and $$f(3)=8$$, the value of $$f(-3)$$ is

Correct Answer: 2

Solution

The even-powered terms have the same values at $$3$$ and $$-3$$, while the linear terms differ by $$6$$. Therefore $$f(3)-f(-3)=6$$. Since $$f(3)=8$$, we get $$f(-3)=2$$.

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