Answer :
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Explain the given function
It can be seen from the function that there are three conditions which are defined below:
When x is less than 3, this states that we execute the first function for values of x less than 3
When x is between 3 and less than 7, this means that whenever x ranges from 3 to 6, we execute the second function.
When x is greater than or equals to 7, we execute the last function.
STEP 2: find f(7)
Since the value of x which is 7 is greater than or equal to 7, therefore we use the last function as seen below:
[tex]\begin{gathered} f(x)=f(7) \\ f(x)=\frac{x+1}{x-3} \\ Substitute\text{ 7 for x} \\ f(7)=\frac{7+1}{7-3}=\frac{8}{4}=2 \end{gathered}[/tex]Hence, the result is 2