Given two non -constant functions f and g which are integrable on every interval and satisfy

$\text{ (i) }\mathrm{f}\text{ is odd, }\mathrm{g}\text{ is even }$

$\text{ (ii) }\mathrm{g}\left(\mathrm{x}\right)=\mathrm{f}(\mathrm{x}+5)\text{, then which of the following are true ? }$

• A

  $\mathrm{f}(\mathrm{x}-5)=\mathrm{g}\left(\mathrm{x}\right)$

• B

  $f(x-5)=-g\left(x\right)$

• C

  ${\int }_0^5 f\left(t\right)\mathrm{dt}={\int }_0^5 g(5-t)\mathrm{d}t$

• D

  ${\int }_0^5 f\left(t\right)dt=-{\int }_0^5 g(5-t)dt$