9000007201

Consider the function $$f(x)=[x+2]$$ defined on the domain $\mathrm{Dom}(f)=(1;2)$. Find the parameters $a$ and $b$ in the linear function $$g(x)=ax+b$$ which ensure that the functions $f$ and $g$ are identical on the domain of $f$. $$$$ 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 $x$.