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Ed.3.f(3) = y = 3x/(8 + x)the inverse of

User Billb
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1 Answer

4 votes

we need the inverse of


y=(3x)/(8+x)

First, we must swap x by y, hence


x=(3y)/(8+y)

Now, we must isolate y. The 2nd step is


x(8+y)=3y

hence, we have


8x+xy=3y

the 4th step is


\begin{gathered} 8x=3y-xy \\ \\ \\ \end{gathered}

hence, by factorizing y, we have


\begin{gathered} 8x=y(3-x) \\ \\ \end{gathered}

therefore, the invers function is


y=(8x)/(3-x)

since f(x)=y,


f(x)=(8x)/(3-x)

User Ghik
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