Question

Find the inverse if the following equation. Show work please.

f(x)=2/3x+1

Answer 1

to find the inverse of an equation you swap all your y's with x's, and all your x's with y's.
You'll get a new equation and you need to solve for y/

Answer 2

\[f(x) = 2/(3x+1)\]
\[f^-1(x) = 2/(3y+1)\]
\[3y +1 = 2/x\]
\[3y = -1 + 2/x\]
\[y = -1/3 + 2/3x\]
\[f^-1(x) = -1/3 + 2/3x\]

Answer 3

Thank you.