$f\left(x\right)=\frac{1}{x-1}-1f\backslash left(x\backslash right)=\backslash frac\{1\}\{x-1\}-1$

$f\left(x\right)=\frac{1}{x+1}+1f\backslash left(x\backslash right)=\backslash frac\{1\}\{x+1\}+1$

$f\left(x\right)=\frac{1}{x-1}+1f\backslash left(x\backslash right)=\backslash frac\{1\}\{x-1\}+1$

$f\left(x\right)=-\frac{1}{x-1}+1f\backslash left(x\backslash right)=-\backslash frac\{1\}\{x-1\}+1$

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

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

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

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

$f\left(x\right)=\frac{1}{x-\mathrm{1,5}}+2f\backslash left(x\backslash right)=\backslash frac\{1\}\{x-1\{,\}5\}+2$

$f\left(x\right)=\frac{3}{x-\mathrm{1,5}}+2f\backslash left(x\backslash right)=\backslash frac\{3\}\{x-1\{,\}5\}+2$

$f\left(x\right)=\frac{1}{x+\mathrm{1,5}}+2f\backslash left(x\backslash right)=\backslash frac\{1\}\{x+1\{,\}5\}+2$

$f\left(x\right)=\frac{3}{x-2}+\mathrm{1,5}f\backslash left(x\backslash right)=\backslash frac\{3\}\{x-2\}+1\{,\}5$