Question

Let $f$ be a function satisfying $f\left(x\right)+f(x+5)=0.$ If fundamental period of $f\left(x\right)$ is $T,$ then $T$ is equal to

• A. 10
• B. 10.0
• C. 10.00

Answer 1

Answer: (A), (B), (C)

$f\left(x\right)+f(x+5)=0...\left(1\right)$
Replacing $x$ by $x+5,$
$f(x+5)+f(x+10)=0...\left(2\right)$
From $\left(1\right)$ and $\left(2\right),$ we get
$f\left(x\right)=f(x+10)$
$\therefore T=10$