Question #46977

1 Answer
Feb 2, 2018

#W(-7) = - 54#

Explanation:

You know that for any value of #n#, the function #W(n)# returns the value

#W(n) = - 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(-7) = (-n)^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(-7) = - (-7)^2 - 5#

#W(-7) = - 49 - 5#

#W(-7) = - 54#