Finding a Triple Transformation of a Tabular Function

Given the table for the function $f\left(x\right),$ create a table of values for the function $g\left(x\right)=2f\left(3x\right)+1.$

$$\begin{array}{ccccc}x& \text{6}& \text{12}& \text{18}& \text{24}\\ f\left(x\right)& \text{10}& \text{14}& \text{15}& \text{17}\end{array}$$

OpenStax, Algebra and Trigonometry 2e · §3.5 Transformation of Functions · Example 12