Chapter 6.4, Problem 29E

To determine

To find: The function of $f$ represented by $g$ and draw the graph.

Answer to Problem 29E

The exponential graph of the function $g\left(x\right)$ is the folded version of $f\left(x\right)$ which is horizontally shifted up by 7 unit.

Explanation of Solution

Given information:

The given functions are $f\left(x\right)={\log }_{1/5}x$ and $g\left(x\right)=-{\log }_{1/5}\left(x-7\right)$ .

Consider thegiven functions are $f\left(x\right)={\log }_{1/5}x$ and $g\left(x\right)=-{\log }_{1/5}\left(x-7\right)$ .

Now, draw the graph.

  

Hence, the exponential graph of the function $g\left(x\right)$ is the folded version of $f\left(x\right)$ which ishorizontally shifted up by 7 unit.