Question

Use the function below to find the indicated value:4x – 10,x21+12 <33

Answer 1

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:

`\begin{gathered} f(x)=f(7) \\ f(x)=(x+1)/(x-3) \\ Substitute\text{ 7 for x} \\ f(7)=(7+1)/(7-3)=(8)/(4)=2 \end{gathered}`

Hence, the result is 2