Given the following functions:
[tex]\begin{gathered} f(x)=(\frac{4}{5})^x \\ g(x)=(\frac{4}{5})^x+6 \end{gathered}[/tex]
We will find the range of the given functions
the first function is an exponential function with a horizontal asymptote y = 0
The range is all possible values of y
So, the range of the function f(x): y > 0
The second function is an exponential function with a horizontal asymptote
y = 6
the range of g(x): y > 6
So, the answer will be:
[tex]\begin{gathered} f(x):\lbrace y|y>0\rbrace \\ g(x):\lbrace y|y>6\rbrace \end{gathered}[/tex]
