Question

If f(x)=x^2+3x+5
What Is? f(3+h)
:D Help please?

Answer 1

plug in (3+h) everywhere you see x

Answer 2

solve for h?

Answer 3

distributive property?

Answer 4

you don't really have to
there are some simplifications you do like \((3+h)^2=3*3+3*h+3*h+h^2\) (you can just use (a+b)^2=a^2+2ab+b^2)
I assume that's what they want you to do

Answer 5

\( f(x)=x^2+3x+5\longrightarrow f(3+h)=(3+h)^2+3(3+h)+5 \)

Answer 6

yes simplifcation here would involve the distributive property

Answer 7

do you need a little push in the right direction or are you working on it

Answer 8

kind of i think i'm just messing up the simplification part

Answer 9

show me what you have

Answer 10

do i apply the distributive property to the beginning f(3+h) so f3+fh?

Answer 11

no, f(blah blah blah) is just a recipe saying t hat the stuff in the parentheses is what replaces the x in our equation

Answer 12

\(f(3+h)=(3+h)^2+3(3+h)+5\) the left hand side doesn't have to be touched, it's just a statement of equivalence

Answer 13

so im at \[9h^2+9+3h+5\]

Answer 14

9h is not ^2 my bad

Answer 15

but i don't think I am supposed to solve for h...

Answer 16

yes

Answer 17

well, to start \((3+h)^2+3(3+h)+5=\\h^2+6h+9+3(3+h)+5=\\h^2+6h+14+9+3h=?\)

Answer 18

h^2+9h+23

Answer 19

thank you :(

Answer 20

looks good