1. ## Functions

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

2. Originally Posted by 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
You need to learn to expand properly. (2 + h)^2 = 4 + 4h + h^2, NOT 4 + h^2. Probably similar mistakes being made with the others.

3. Thanks man.