Question

HELP! I have no idea how to do this

Let f(x) = x2 + x + 2 and g(x) = 2x2 + 5. Find f(g(x)). Show each step of your work

Answer 1

@ganeshie8

Answer 2

@Nnesha

Answer 3

okay so substitute all x for g(x) value into f(x) function \[\rm f(\color{Red}{g(x)})\]
does it make sense ?

Answer 4

not really

Answer 5

alright \[\huge\rm f(\color{ReD}{2x^2+5})=\color{Red}{x}^2+\color{red}{x}+2\]
replace all x's with g(x) function which is 2x^2 +5

Answer 6

so then i solve? sorry im trying to get this.

Answer 7

f(2x^2+5) is same as saying f(g(x))

Answer 8

so the answer to this question is f(2x^2+5)??

Answer 9

yes right then solve
and it's okay plz ask question if you didn' get it:) feel free!

Answer 10

that would be the answer?

Answer 11

yes after that you would get the answer \[\huge\rm f(\color{Red}{g(x)})= (\color{Red}{2x^2+5})^2+(\color{Red}{2x^2+5})+\color{Red}{2}\]

Answer 12

oh! okay that makes sense thank you so much!!

Answer 13

my pleasure :=)

Answer 14

remember (2x2+5)^2 is same as (2x^2+5)(2x^2+5) foil it and then combine like terms :)