rebekahc1999 rebekahc1999

25-10-2017
Mathematics

contestada

If f(x) = x2 − 2x + 9 and g(x) = 8 − x, what is (f o g)(−4)?

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chi3fcomm5nd chi3fcomm5nd

27-10-2017

(f•g)(x)=f(g(x))
[tex]f(g(x)) = {(8 - x)}^{2} - 2(8 - x) + 9 \\ when \: x = - 4 \\ f(g( - 4)) = {(8 + 4)}^{2} - 2(8 + 4) + 9 \\ f(g( - 4)) = {12}^{2} - 2 \times 12 + 9 \\ f(g( - 4)) = 144 - 24 + 9 = 129[/tex]

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