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SelenaDoxy
SelenaDoxy SelenaDoxy
  • 08-08-2016
  • Mathematics
Answered

Find the inverse of. F(x)= 4x-3 /2 it's supposed to be over 2 with the line under 3

Verified Answer :

dalendrk
dalendrk dalendrk
  • 08-08-2016

\(f(x)=4x-\dfrac{3}{2}\\\\4x-\dfrac{3}{2}=y\ \ \ \ |add\ \dfrac{3}{2}\ to\ both\ sides\\\\4x=y+\dfrac{3}{2}\ \ \ \ |divide\ both\ sides\ by\ 4\\\\x=\dfrac{1}{4}y+\dfrac{3}{8}\\\\Answer:\boxed{f^{-1}(x)=\frac{1}{4}x+\frac{3}{8}}\)

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