Exercises: Simple rational functions

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

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

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

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

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

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

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

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

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

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

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

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