A certain function is defined as a line passing through the points (2, 4) and (3, 7).

Solve for its equation and graph it.

Sketch the graph of the following greatest-integer function.

$f\left(x\right)=\lfloor x\rfloor ,-2\le x\le 2$

Given the function $f\left(x\right)=3x^2+2$, for $x\ge 0$, identify its inverse function from the following options. Then, graph the function and its inverse.

Find the inverse function $g^{-1}\left(x\right)$ of $g\left(x\right)=2\ln (x-3)+4$.