Question

Please help.
Given the function f(x) =2x-5/3 , which of the below expressions is correct?

f−1(x) = 5-2x/3

f−1(x) = 3x-5 /2

f−1(x) = 3x+5 /2

f−1(x) = -2x-5 /3

Answer 1

for inverse find value of x

Answer 2

f(x)=(2x-5)/3

Answer 3

3*f(x)=2x-5

Answer 4

(3*f(x)+5)/2=x
this is your inverse

Answer 5

Oh that makes sense now. @gorv I was confused because of the division, but I think I get it now.

Answer 6

wait

Answer 7

now replace f(x) with x and x with f^-1(x)

Answer 8

inverse=(3x+5)/2