f(x)=x2+1,g(x)=x-4, (f-g)(-1)

To find the value of (f-g)(-1), we need to subtract the value of g(x) from the value of f(x) at x = -1.

Let's start by finding the value of f(x) at x = -1:
f(x) = x^2 + 1
Substituting x = -1:
f(-1) = (-1)^2 + 1
f(-1) = 1 + 1
f(-1) = 2

Now, let's find the value of g(x) at x = -1:
g(x) = x - 4
Substituting x = -1:
g(-1) = -1 - 4
g(-1) = -5

Finally, we can find the value of (f-g)(-1) by subtracting the value of g(-1) from the value of f(-1):
(f-g)(-1) = f(-1) - g(-1)
(f-g)(-1) = 2 - (-5)
(f-g)(-1) = 2 + 5
(f-g)(-1) = 7

Therefore, (f-g)(-1) = 7.