Question

What is the domain and range of the function? 15c

Answer 1

The first thing we have to know is that the Domain are all the values that x can take in the function and that the Range are all the values that the function takes in y

Taking this into account, the best way to see the domain and range is by graphing the function

`\begin{gathered} f^(-1)(x)=3+\log _4((1-x)/(3)) \\ f^(-1)(x)=3+\log _4(1-x)-\log _4(3) \end{gathered}`

If you want to find the Domain we have to guarantee that what is inside the logarithm and have a x is greater than zero:

`\begin{gathered} 1-x>0 \\ 1>x \end{gathered}`

This means that the domain will only be those values less than 1