We have to calculate the inverse function of f(x), being:
[tex]f(x)=6x+3[/tex]We can find the inverse function h(x) by calculating:
[tex]y=h(x)\Rightarrow f(h(x))=f(y)=x[/tex]We then can solve as:
[tex]\begin{gathered} f(y)=6y+3=x \\ 6y=x-3 \\ y=\frac{x-3}{6} \\ h(x)=y=\frac{1}{6}x-\frac{1}{2} \end{gathered}[/tex]Answer: The inverse function of f(x) is h(x)=1/6*x-1/2
