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A Beautiful Mind 1. For g(x) = x^2+2x+3, find and simplify:
A) g(2+h)
B) g(2+h)-g(2)
2. If f(x)=x^2+1, find and simplify:
A) f(t+1)
B) f(t+1)
C)f(2)
D)2f(t)
E) [f(t)]^2
I'm not super concerned about what the answers are, but more on how to get to them. I know it looks like a case of just inputing whatever it is, but for some reason I come at it with an incomplete understanding of how to get to the solution of the problem.
Take for instance A in the first question.
g(x)=x^2+2x+3 when g(2+h)
(2+h)^2+2(2+h)+3
4+h^2+4+2h+3
I'm probably doing something very wrong because I do not seem to know how the answer is h^2+6h+11. I've got this so far:
h^2+2h+11