Iam so lost with this. given that f(x)= x+1 and g(x)= x^2 -x, find (f + g)(1) if it exists. my main concern is that one, and what would a function that doesn't exist look like? as far as i've gotten is (x+1)+(x^2-x) = x^2 +2x+1 but then im left second guessing my self with that (1) why is it even there? am i missing something? or am i just overthinking this : 0

You're overthinking it.

The (1) is there just to signify that x should be replaced with 1.

f + g(x) would look like: x + 1 + x^2 - x.

f + g(1) would look like: 1 + 1 + 1^1 - 1.

Which can be simplified like so:

2 + 1 - 1 = 2

Your answer is 2.

This should be your answer. Let me know if you need any more help.

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