Question

find the inverse given f(x) =2x+5÷3​

Answer 1

Answer:

$f^{-1} =(3x-5)/2$

Step-by-step explanation:

Let y be equal to f(x)

then $y = (2x+5)/3$

Now, interchange the variables

Which means make y =x and x =y

so, x=(2y+5)/3

solve for y

so, y=(3x-5)/2

At this point you've found your inverse

So,

$f^{-1} =(3x-5)/2$

In order to do these type of problems interchange the variables and then solve for the interchanged variable which will be your inverse like I have done above.