junior42069 junior42069

22-03-2018
Mathematics

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the inverse of f(x)=3 over 4x+2
[tex]f(x) = \frac{3}{4} x + 2[/tex]

$the inverse of fx3 over 4x2texfx frac34 x 2tex class=$

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22-03-2018

Hi !

[tex]f(x)=\dfrac{3}{4}x+2\\\\So\;f(x)^{-1}=\dfrac{1}{\left(\dfrac{3}{4}x+2\right)}=\dfrac{1}{\dfrac{3x+8}{4}}=\dfrac{1}{3x+8}\times4=\boxed{\dfrac{4}{3x+8}}[/tex]

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