Question

If $f$ is periodic, $g$ is polynomial function and $f\left(g\right(x\left)\right)$ is periodic and $g\left(2\right)=3,g\left(4\right)=7$ then $g\left(6\right)$ is

• A. $13$
• B. $15$
• C. $11$
• D. $21$

Answer 1

The correct option is A $13$

Given that,

$g\left(2\right)=3$

$g\left(4\right)=7$ $\because$ $3+4=7$

$g\left(6\right)=13$ $7+6=13$

Hence we get

Option $A$ is correct answer