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11-10-2021
Mathematics

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Find (fog)(x) when f(x)=x^2-7x+12 and g(x)=3/x^2-16

Find fogx when fxx27x12 and gx3x216 class=

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13-10-2021

Answer:

[tex]f( \frac{3}{ {x}^{2} - 16 } ) = ({\frac{3}{ {x}^{2} - 16 }})^{2} - 7(\frac{3}{ {x}^{2} - 16 }) + 12 \\ = \frac{9}{ {x}^{4} - 32 {x}^{2} + 256 } - \frac{21}{ {x}^{2} - 16} + 12[/tex]

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