Question

if f(x)=x^2+3x+5, what is f(3+h)

Answer 1

plug it in and simplify to your hearts desire .... whats the problem you are having?

Answer 2

I do not know which part of the equation I am supposed to plug it into. Would it be into the x-value?

Answer 3

compare: f(x) to f(3+h) what has changed?

Answer 4

yes, the x parts are being defined by the notation, think of it as f(x=3+h)

Answer 5

\[f(x)=x^2+3x+5\]

\[f(3+h)=(3+h)^2+3(3+h)+5\]

Answer 6

So, it would be stretched out into (3+h)^2+3(3+h)+5? Would simplifying that give me the answer?

Answer 7

yes

Answer 8

Ok, so would it be h^2+9h+23?

Answer 9

maybe, lets chk

3^2 + h^2 + 6h + 3(3) + 3h + 5

looks good to me

Answer 10

Thank you so much!

Answer 11

youre welcome