Question

Evaluate this function at x=3 Express your answer as an i ther or simplified fraction. If the function is undefined at the given value indicate undefined

Answer 1

We are given a piece-wise function so to evaluate f(x), we need to identify which set of operations should be used by knowing where the value of x falls under.

We are looking for f(3) and 3 ≥ 3 so we use

`f(x)=-(1)/(3)x-8`

We substitute 3 for the x to get:

`\begin{gathered} f(3)=-(1)/(3)(3)-8 \\ \\ f(3)=-1-8 \\ \\ f(3)=-9 \end{gathered}`

The answer is -9.