Question

If $y=f\left(x\right)=\frac{2x-1}{x-2}$, then $f\left(y\right)=$

• A. $x$
• B. $y$
• C. $2y-1$
• D. $y-2$

Answer 1

Answer: (A)

$x$

$f\left(y\right)=\frac{2y-1}{y-2}=\frac{2\left(\frac{2x-1}{x-2}\right)-1}{\left(\frac{2x-1}{x-2}\right)-2}$
$=\frac{4x-2-x+2}{2x-1-2x+4}=\frac{3x}{3}=x$