Question

Consider the functions f(x)=(4/5)* + 6 what are the ranges of the two functions

Answer 1

Given the following functions:

`\begin{gathered} f(x)=((4)/(5))^x \\ g(x)=((4)/(5))^x+6 \end{gathered}`

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:

`\begin{gathered} f(x):\lbrace y|y>0\rbrace \\ g(x):\lbrace y|y>6\rbrace \end{gathered}`