# Question #46977

Feb 2, 2018

$W \left(- 7\right) = - 54$

#### Explanation:

You know that for any value of $n$, the function $W \left(n\right)$ returns the value

$W \left(n\right) = - {n}^{2} - 5$

Notice that the minus sign added in front of ${n}^{2}$ is not being squared! In other words, you don't have

$W \left(- 7\right) = {\left(- n\right)}^{2} - 5 = {n}^{2} - 5$

This means that in order to get the output of the function for a given value of $n$, all you have to do is to replace $n$ with the given value and calculate the value of the expression.

In your case, you want to find the output of the function for $n = - 7$, so simply replace $n$ with $- 7$.

You will find

$W \left(- 7\right) = - {\left(- 7\right)}^{2} - 5$

$W \left(- 7\right) = - 49 - 5$

$W \left(- 7\right) = - 54$