Question

Given the function f(x) = 4x-2/3, which of the below expressions is correct?

Answer 1

\[f^-1(x)=\frac{ 2-4x }{ 3 }\]

\[f^-1(x)=\frac{ 3x -2}{ 4 }\]

\[f^-1(x)=\frac{ -4x-2}{ 3 }\]

\[f^-1(x)=\frac{ 3x+2}{ 4 }\]

Answer 2

@jim_thompson5910

Answer 3

Assuming you meant (4x-2)/3:
To do inverse functions, swap x and y:
\[\frac{ 4y-2 }{ 3 }=x\]
Solve for y:
\[3x =4y-2\]\[3x+2=4y\]\[y=\frac{ 3x+2 }{ 4}\]
Option 4 is correct.

Answer 4

Thank you!