Question

What is the range of function gif 9(2) = /(=) + 3,O A (3, 00)O B. (-00, 00)O C. (-00, 3)O D. (-3, 3)

Answer 1

Step 1

Given;

$\begin{gathered} f(x)=e^x \\ g(x)=f(x)+3 \end{gathered}$

Required; To find the range of g(x)

Step 2

$\mathrm{The\:set\:of\:values\:of\:the\:dependent\:variable\:for\:which\:a\:function\:is\:defined}$$\begin{gathered} k=3 \\ f\left(x\right)>3 \\ Range=\left(3,\:\infty\:\right) \end{gathered}$

Answer;

$Range=\left(3,\:\infty\:\right)$