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Let $f(x) = xe^{-x}$ and $g(x) = -3f(x) +1$.
\nThe graphs of $f$ and $g$ intersect at $x=p$ and $x=q$ where $p<q$.
\n", "advice": "This problem should be solved by sketching the graphs on your graphics calculator and using the intersect option to find where they cross.
\nThe two values are
\n$p =$ {p} and
\n$q =$ {q}
\nbut note that answers should be given o 3 significant figures
\n$p = 0.357$ and
\n$q = 2.15$
\nyou may have been penalised if you rounded incorrectly.
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