We have a function which is expressed by the following:
[tex]f(x)\text{ = }\frac{1}{x+6}[/tex]We need to evaluate it when "f(x) = 5", so we have to find the value of x that makes the above expression equals to 5.
[tex]\begin{gathered} 5\text{ =}\frac{1}{x+6} \\ 5\cdot(x+6)=1 \\ 5\cdot x+30=1 \\ 5\cdot x=1-30 \\ 5\cdot x=-29 \\ x=\frac{-29}{5} \\ x\text{ = }-5.8 \end{gathered}[/tex]The value that makes f(x) = 5 is x = -5.8
