Question

f(x) = 3x + 2; g(x) = 3x - 5 find f/g

Answer 1

please help

Answer 2

\[\frac{f(x)}{g(x)} = \frac{3x + 2}{3x - 5} = \frac{3x -5 + 7}{3x -5} = \frac{3x - 5}{3x - 5} + \frac{7}{3x - 5} = 1 + \frac{7}{3x - 5}\]

Answer 3

Hi Hero

Answer 4

Hi @Marlins0412

Answer 5

so the answer to this problem is 1-7/3x-5?

Answer 6

Now just think about it for a minute and realize for yourself what the correct answer is.

Answer 7

Also realize that no one even bothered to dispute my result

Answer 8

Ok but what would be the domain though?

Answer 9

Any x as long as x ≠ 5/3

Answer 10

can you help with 1 more please ?

Answer 11

Okay

Answer 12

f(x) = 4x + 7, g(x) = 3x^2
Find(fg)(x)

Answer 13

\[(fg)(x) = f(x) \dot\ g(x) = (4x + 7)\dot\ (3x^2) = 4x(3x^2) + 7(3x^2) = 12x^3 + 21x^2\]

Answer 14

Thanks so much if you don't mind i have a few more but its totally up to you!

Answer 15

I'm more interested in understanding whether or not you're getting this.

Answer 16

As you do these instructions i am completely understanding your so good! May you help with more?

Answer 17

I guess, but like I said, I'm more interested in what you can do after I've shown you.

Answer 18

I understand what directions you give. THe next problem is

Find f(x) and g(x) so the function can be expressed as y = f(g(x)).
y=(7/x^2)+10

Answer 19

f(x) = x + 10
g(x) = 7/x^2

f(g(x)) = f(7/x^2) = (7/x^2) + 10

Answer 20

ok so you did the square of each one i see what you did. Wow your a teacher i bet!!

Answer 21

THe next one i need help with is

f(x) = 3x + 9, g(x) = 5x^2
Find (f+g)(x)

Answer 22

How do you know I'm not a HS Student? When I was in high school, I did these exactly the same.

Answer 23

wow you must be a brilliant person!

Answer 24

Add you have to do is add f(x) + g(x) = (3x + 9) + (5x^2)

Answer 25

Add them and let me know what you get.

Answer 26

well im thinking the answer is 15x^3+45x

Answer 27

5x^2 + 3x + 9 is what i got when adding...

Answer 28

Yes, correct. You can only combine like terms. Since there are no like terms to combine, you simply express the addition as a quadratic expression.

Answer 29

So the answer is 5x^2 + 3x + 9 (not 15x^3 + 45x)

Answer 30

right so the first answer i got was multiplying//

Answer 31

do you know how to do inverses?

Answer 32

"Do I know how to do inverses?"...You're funny

Answer 33

The question is, "Do you know how to do them?".

Answer 34

Find the inverse of the function.
f(x)=x^3-3

Answer 35

Im saying for you to help me out with them...

Answer 36

`1.` Replace f(x) with y
`2.` Add three to both sides
`3.` Cube root both sides
`4.` Swap x and y
`5.` Replace y with \(f^{-1}{(x)}\)

Answer 37

x+2/7?

Answer 38

are you still there?

Answer 39

If that's what you got, you didn't follow my steps exactly.

Answer 40

is it x-2/7 ?

Answer 41

Of course it isn't

Answer 42

i know its f^_1x but after that is where i need the help

Answer 43

Bro, just follow the steps I gave you.