Let $\mathrm(\mathrm)=\frac$, if $\mathrm \neq 1,-1$, and 1 if $\mathrm=1,-1$. Let $\mathrm(\mathrm)=\frac$ if $\mathrm \neq 1$ and 3 if $x=1$.
What is the minimum possible value of $\frac$ ?

A. 1

B. -1

C. 1/4

D. 1/3

D. 1/3

$\frac=\frac =\frac$

i.e x cannot be -1

we observe when x=1(which is possible here), we get f(x)=1 and g(x)=3

Hence, $\frac =\frac$