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Bugsey
Mathematics
18 January, 19:21
If f (x) = 5x^3 and g (x) = x+1 find (fxg) (x)
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Bentley Bruce
18 January, 19:43
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(f o g) (x) = f (g (x)) so we plug in the equation for g (x) where the x-variable is in f (x).
5 (x + 1) ³
5[ (x + 1) (x + 1) (x + 1) ]
5[ (x² + 2x + 1) (x + 1) ]
5 (x³ + 3x² + 3x + 1)
(f o g) (x) = 5x³ + 15x² + 15x + 5
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