Question

f(x) = \

$$\begin{cases} 3x + 6 & \\text{for } x \ eq -1 \\\\ -5 & \\text{for } x = -1 \\end{cases}$$

find f(-1)

Explanation:

Step1: Determine the applicable function part

We need to find \( f(-1) \). Looking at the piece - wise function \( f(x)=

$$\begin{cases}3x + 6, & x eq - 1\\-5, & x=-1\end{cases}$$

\), since we are evaluating at \( x=-1 \), we use the part of the function defined for \( x = - 1 \).

Step2: Substitute \( x=-1 \) into the relevant function

The function for \( x=-1 \) is \( f(x)=-5 \). So when \( x = - 1 \), \( f(-1)=-5 \).

Answer:

\( f(-1)=-5 \)