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04-08-2015
Mathematics

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Let f(x) = x - 2 and g(x) = x2 - 7x - 9. Find f(g(-1))

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04-08-2015

[tex]f(x)=x-2 \\ g(x)=x^2-7x-9 \\ \\ g(-1)=(-1)^2-7 \times (-1)-9 = 1+7-9=-1 \\ f(g(-1))=f(-1)=-1-2=-3 \\ \\ \boxed{f(g(-1))=-3}[/tex]

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