Question

Helppp PLEASEEEEEEEEE

Answer 1

`f(0)=5`

Explanation:

In this problem we are given the piecewise function:

`f(x)=\begin{cases}(4)/(3)x \text{ for } -\!6\le x < 0 \\ x + 5 \text{ for } 0\le x\le 4\end{cases}`

and are asked to calculate
`f(0)`.

First, we can identify which piece will determine the output for
`f(0)`. We can see that it will be the piece:

`x + 5 \text{ for } 0\le x \le 4`

because
`0` is within its domain (possible inputs, or x-values).

Notice that the other piece's domain is less than 0, but does not include 0.

Next, we can plug
`0` in for
`x` within that piece's definition to solve for
`f(0)`:

`f(0) = 0 + 5`

`\boxed{f(0)=5}`