Question

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

Answer 1

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)`