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Sagot :
You can tell that the maximum value that [tex]g[/tex] attains is roughly [tex]4[/tex].
Rewriting [tex]f[/tex] in vertex form: [tex]f(x)=-(x-2)^2+1[/tex]. This tells us that the maximum of [tex]f[/tex] is [tex]1[/tex].
So [tex]g[/tex] has the greater maximum.
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