Question

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

• A. $13$
• B. $15$
• C. $11$
• D. None of these

Answer 1

Answer: (C)

$11$

Since $f\left(g\right(x\left)\right)$ is periodic and it is given that $g\left(2\right)=3$ $g\left(4\right)=7$
Therefore $g\left(n\right)=2n-1$
Hence $g\left(6\right)$
$=2\left(6\right)-1$
$=11$