## Algebra and Trigonometry 10th Edition

$(f~o~g)^{-1}=\frac{1}{2}x+\frac{1}{2}$
$f~o~g=f(g(x))=f(2x-5)=2x-5+4=2x-1~~$ (Replace $f~o~g$ by $y$) $y=2x-1~~$ (Interchange $x$ and $y$): $x=2y-1$ $x+1=2y$ $y=\frac{1}{2}x+\frac{1}{2}$ $(f~o~g)^{-1}=\frac{1}{2}x+\frac{1}{2}$