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2 July, 17:25

Find [fog] (x) and [gof] (x)

F (X) = X2+2X and g (x) = x-9

The zeros in the middle are supposed br small o

A. F[g (x) = x2-16x+81; g[f (x) = x2+3x-9

B. F[g (x) = x2+2x+81; g[f (x) = x2+2x-9

C. F[g (x) = x2-16x+63; g [f (x) = x2+2x-9

D. F[g (x) = x2+2x+81; g [f (x) = x2+3x-9

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Answers (1)
  1. 2 July, 20:32
    0
    F (x) = x^2+2x

    g (x) = x-9

    (f o g) (x) = f (g (x)) = f (x-9) = (x-9) ^2+2 (x-9) = (x) ^2-2 (x) (9) + (9) ^2+2x-18

    (f o g) (x) = f (g (x)) = x^2-18x+81+2x-18

    (f o g) (x) = f (g (x) = x^2-16x+63

    (g o f) (x) = g (f (x)) = g (x^2+2x) = (x^2+2x) - 9

    (g o f) (x) = g (f (x)) = x^2+2x-9

    Answer: Option C. F[g (x) ]=x^2-16x+63; g [f (x) ]=x^2+2x-9
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