i will give medal

Question

i will give medal

anonymous · Answer

Given that$$f(x)=\frac{ 5-2x }{ 3x }$$
Find$$f ^{-1}(x)$$

john_es · Answer

Let call 
$$f(x)=y$$Then, $$y=\frac{5-2x}{3x}$$ Now you should find the function x(y). In other words, put x in function of y. An example with other function:
$$f(x)=2x+3\
y=2x+3\
x=(y-3)/2$$ Then change x for y, and y for x this way,
$$y=(x-3)/2$$But now,
$$f^{-1}(x)=(x-3)/2$$

anonymous · Answer

But the answer is $$\frac{ 5 }{ 3x+2 }$$

john_es · Answer

The answer I gave you was for an example. You should do the same process for your problem.

john_es · Answer

Do you understand it or need some more help?

anonymous · Answer

yes please can u?

john_es · Answer

Ok, the, first, we will find x(y),
$$y=\frac{5-2x}{3x}\Rightarrow 3xy=5-2x\Rightarrow3xy+2x=5\Rightarrow\
\Rightarrow x(3y+2)=5\Rightarrow x=\frac{5}{2+3y}$$ Now, simply change x for y, and y for x, and you'll obtain the result.

anonymous · Answer

even i was getting the same thing but i wasn't know to change x for y and y for x

anonymous · Answer

any way thanks a lot