Good afternoon people
suppose the function $$f\left(x\right)=\frac{sx^{2}}{zx^{2}+1}$$
How many different functions can there be, if numbers s and z are taken randomly from the set $\left\{ 0,1,0.5,2.64,-6\right\} $
I think the answer would $5\times 5= 25 -5 = 20$ . I subtract $5$ for the case where the $s=0$, because the result will always be the same: $= 0$.
I miss something perhaps ?
Cheerios.
You are right that that all $5$ values of $z$ give the same function when $s=0$. But this means you must subtract $4$, not $5$. You have $4$ too many.