Step 1
Given;
[tex]\begin{gathered} f(x)=e^x \\ g(x)=f(x)+3 \end{gathered}[/tex]
Required; To find the range of g(x)
Step 2
[tex]\mathrm{The\:set\:of\:values\:of\:the\:dependent\:variable\:for\:which\:a\:function\:is\:defined}[/tex][tex]\begin{gathered} k=3 \\ f\left(x\right)>3 \\ Range=\left(3,\:\infty\:\right) \end{gathered}[/tex]
Answer;
[tex]Range=\left(3,\:\infty\:\right)[/tex]
