Question

If $f:R\to R$ defined by $f\left(x\right)=\frac{x-1}{2}$ ,find $\left(fof\right)\left(x\right)$

Answer 1

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

Therefore,

$fof\left(x\right)$

$=f\left(f\left(x\right)\right)$

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

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

$=\frac{x-1-2}{2\times 2}$

$=\frac{x-3}{4}$