[tex]\begin{gathered} f(x)=2x+2 \\ f(x)=x^2+x+2 \end{gathered}[/tex][tex]\begin{gathered} 2x+2=x^2+x+2 \\ 2x+2-x-2=x^2 \\ x=x^2 \\ \frac{x}{x}=\frac{x^2}{x} \\ 1=x \\ x=1 \end{gathered}[/tex]
to check, if x = 1 then
[tex]\begin{gathered} 2x+2=x^2+x+2 \\ 2(1)+2=(1)^2+1+2 \\ 2+2=1+1+2_{} \\ 4=4 \end{gathered}[/tex]
QED
Answer.
x=1
