You can put this solution on YOUR website! g(x)=3e^(x+2) +2 Parenthesis absolutely Necessary!!
My recommendation:
1) Pattern it after parent function e^x(Green) and adjust as new functions states
2) Use Graphing calculator or software to check Your work
there is FREE graph software at https://www.padowan.dk/download/
Wish You the Best in your Studies.