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Studentka2010 [4]
3 years ago
5

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

Mathematics
1 answer:
EleoNora [17]3 years ago
8 0
(f•g)(x)=f(g(x))
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
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