9000007202

Consider the function $$f(x)=[x]+3$$ on the domain $\mathrm{Dom}(f)=(1;2)$. Find the parameters $a$ and $b$ and a domain of the linear function $$g:y=ax+b$$ which ensure that $f$ and $g$ are identical functions. $$$$ Hint: The function $y=[x]$ is a floor function: the largest integer less than or equal to $x$. For positive $x$ it is also called the integer part of $x$.