Question

For a given input value q, the function f outputs a value r to satisfy the following equation. 1lq - 4= 3r - 6

Answer 1

Since r=f(q), solve for r from the equation:

$\begin{gathered} 11q-4=3r-6 \\ \Rightarrow11q-4+6=3r \\ \Rightarrow11q+2=3r \\ \Rightarrow r=\frac{11q+2}{3} \end{gathered}$

Therefore:

$f(q)=\frac{11q+2}{3}$