If (c) were f(x)=-4/(k+7) what value of k would be excluded from the domain?

I know that we cant have 0 in the denominator. I solved the following:
k+7=0
Value cannot be -7

correct

To find the value of k that would be excluded from the domain of the function f(x) = -4/(k+7), we need to determine the values of k that make the denominator, (k+7), equal to zero.

As you correctly mentioned, we cannot have a zero in the denominator. Thus, to find the excluded value, we set the denominator equal to zero and solve for k:

k + 7 = 0

Next, we isolate k by subtracting 7 from both sides of the equation:

k = -7

Therefore, the value of k = -7 would be excluded from the domain of the function because it would result in division by zero.