Question

function↓↓↓‽‽

Answer 1

-2

Answer 2

I need to know how to do it?!

Answer 3

g(2) = 3- (2^2)
=-1

Answer 4

f(g(2))=f(-1)

Answer 5

when they say g(x)= 3-x^2

that means g(x) is the name for the formula 3-x^2
g(2) means use the formula, but replace x with 2

Answer 6

f(-1)=(-1)^2 +3*(-1)

Answer 7

=-2

Answer 8

so the first thing to do is find
g(2).... 3 - 2^2

Answer 9

now you need to know order of operations
3 - 2^2
first do the exponents: 2^2 means 2*2 or 4
3 -4
now add 3 + -4 (or do 3 minus 4)
either way you get
-1

that means
g(2) = -1

Answer 10

now use the same idea, but for f(x)
f(x) = x^2 + 3x

f( g(2) ) is f(-1) (see above)
use the formula for f, but replace x with -1 and simplify

Answer 11

can you find f(-1) ?

Answer 12

-4?

Answer 13

almost
f(-1) = (-1)^2 + 3* -1

what is -1 * -1 ?

Answer 14

the last question -1*-1=1

Answer 15

yes -1*-1= 1 (that means (-1)^2 = 1

so
f(-1) = (-1)^2 + 3* -1
becomes
f(-1)= 1 + 3* -1

now what is 3* -1 ?

Answer 16

-3 so the answer to the question is -2

Answer 17

yes
f(-1) = -2

Answer 18

hopefully you get the idea:

f( g(2) )
is a two step process

find g(2) (practice doing that... you should get -1)

then replace g(2) with -1 and find f(-1) and you get the final answer -2

Answer 19

thank you

Answer 20

It is like opening a box inside a box .... ooo very exciting!