Question

find the inverse of f(x) = (7x-3/2x-1) + 2

Answer 1

\[f(x)=\frac{7x-3}{2x-1}+2\]?

Answer 2

if this is the problem, it might be easier to start with
\[f(x)=\frac{11x-5}{2x-1}\]to make the algebra go smoother. then write
\[x=\frac{11y-5}{2y-1}\] and solve for y via
\[2xy-x=11y-5\]
\[-x+5=11y-2xy=(11-2x)y\]
\[\frac{5-x}{11-2x}=y\] and so
\[f^{-1}(x)=\frac{x-5}{2x-11}\]

Answer 3

how did you get 11x-5/2x-1?

Answer 4

oh i see now! are you allowed to do that?