Question

Let $f\left(x\right)=x^2-1,xϵR$. Find the integer part in $\frac{f\left(4\right)}{f\left(5\right)}$

Answer 1

Given, $f\left(x\right)=x^2-1$

Then $\frac{f\left(4\right)}{f\left(5\right)}=\frac{4^2-1}{5^2-1}$

$=\frac{16-1}{25-1}$

$=\frac{15}{24}$

$=\frac{5}{8}$