Which of the following could be a possible decomposition of h (x) ?

let h (x) = (gof) (x) = 1 / (x+5) ^3

a) f (x) = x^3; g (x) = x+5

b) f (x) = 1/x^3; g (x) = 1/x+5

c) f (x) = 1/x; g (x) = x+5

d) f (x) = x+5; g (x) = 1/x^3

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13 May, 01:07

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Sofia Lowery · Answer 1

Hello,

Answer D.

g (f (x)) = g (x+5) = 1 / (x+5) ^3

f (x) = x+5

g (x) = 1/x^3

Which of the following could be a possible decomposition of h (x) ?let h (x) = (gof) (x) = 1 / (x+5) ^3a) f (x) = x^3; g (x) = x+5b) f (x) = 1/x^3; g (x) = 1/x+5c) f (x) = 1/x; g (x) = x+5d) f (x) = x+5; g (x) = 1/x^3