We are solving:

limx$2(4$x$+5)\backslash$lim$\_\{$x $\backslash$to $-2\}(4$x $+5)$x$2$lim$(4$x$+5)$

Explanation:

Direct Substitution: Since the function f$($x$)=4$x$+5$f$($x$)=4$x $+5$f$($x$)=4$x$+5$ is a linear function $($and continuous everywhere$),$ we can directly substitute x$=2$x $=-2$x$=2$ into the function.

Substituting x$=2$x $=-2$x$=2$:

f$(2)=4(2)+5$f$(-2)=4(-2)+5$