Explanation:
The loagrith function for g(x) is given below as
[tex]g(x)=\log_2(x+3)-2[/tex]
The Function of f has
[tex]\begin{gathered} x-intercept=(4,0) \\ decreainginterval=(0,\infty) \\ verticalasymptote=x=0 \end{gathered}[/tex]
Hence,
The interval inwhich both functions will be increasing will be
[tex](1,4)[/tex]
