Question

please someone help me understand this

Answer 1

Write an expression of f(x) -3(g(x)- f(x))

Answer 2

f(x)=3x^2-2x+5
g(x)= x+3

Answer 3

@jim_thompson5910

Answer 4

show me what you have so far

Answer 5

were you able to get started?

Answer 6

yea so i have... 3x^2-2x+5 - 3(x+3- 3x^2-2x+5)

Answer 7

im so confused on what to do next

Answer 8

it's incorrect. You didn't distribute the negative properly

Answer 9

when you say -f(x), you're really saying -[ f(x) ]

Answer 10

g(x) - f(x) = g(x) - [f(x)]

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

what would that simplify to?

Answer 11

don't forget to distribute the negative all the way through

Answer 12

-3x^2 +2x-5

Answer 13

@jim_thompson5910

Answer 14

that's just the -[f(x)] portion

Answer 15

you forgot about the x+3

Answer 16

would it be -3x-9

Answer 17

and then -3x^2 +2x-5

Answer 18

g(x) - f(x) = g(x) - [f(x)]

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

g(x) - f(x) = x+3 - 3x^2 + 2x - 5

simplify the right side

Answer 19

-3x-9

Answer 20

idk how you're getting that

Answer 21

I'm just focusing on g(x) - f(x) for now

Answer 22

I'm distributing -3 to the (x+3)

Answer 23

the question is Write an expression of f(x) -3(g(x)- f(x))

Answer 24

Don't distribute that 3. Not yet anyway.

Answer 25

can u show me how to do it I have no clue what you mean

Answer 26

what do you get when you simplify x+3 - 3x^2 + 2x - 5

Answer 27

i dont know

Answer 28

i need help

Answer 29

what is x+2x equal to?

Answer 30

think of x+2x as 1x+2x if you're stuck

Answer 31

any ideas?

Answer 32

3x?

Answer 33

but why am i simplifying them if the questions says to subtract them?

Answer 34

Do you agree that `g(x) - f(x) = g(x) - [f(x)]` ?

Answer 35

yes

Answer 36

and you also see how I replaced g(x) with x+3 and I replaced f(x) with 3x^2-2x+5 ?

Answer 37

oh i think i get it

Answer 38

so it would be-3x^2 -x +8

Answer 39

@jim_thompson5910

Answer 40

Do you see how
g(x) - f(x) = x+3 - [3x^2-2x+5]
turns into
g(x) - f(x) = x+3 - 3x^2 + 2x - 5
??

Answer 41

yes so was my answer correct?

Answer 42

no it's not correct

Answer 43

you need to simplify x+3 - 3x^2 + 2x - 5

x+2x is 3x
3-5 = -2

Answer 44

make sense?