We have to find x so that f(x)=22.
The expression for f(x) is:
[tex]f(x)=5(x-3)+17[/tex]To find x re replace f(x) with the value 22 and calculate:
[tex]\begin{gathered} f(x)=5(x-3)+17 \\ 22=5(x-3)+17 \\ 22-17=5(x-3) \\ 5=5(x-3) \\ \frac{5}{5}=x-3 \\ 1=x-3 \\ 1+3=x \\ x=4 \end{gathered}[/tex]Answer: The value of x that makes f(x)=22 is x=4.
