Question

find the inverse of g(x)=1/3x-7 and find its domain and range

Answer 1

@sillybilly123

Answer 2

@Ultrilliam

Answer 3

@Aeon

Answer 4

Aeon is a AI, it wont be of much help here, and unfortunately I'm no good at this.

One second, I'll try to get someone who can help

Answer 5

hello, I'll be doing my best to assist you. to confirm your question, it is \[g(x)=\frac{ 1 }{ 3 }x-7\] correct?

Answer 6

yes

Answer 7

actually the x is at the bottom 1/3x

Answer 8

Ok.

Answer 9

Domain: (-oo,0)
Range: (-oo,-7)
Inverse:1/3(x+7)

Answer 10

Would you like it graphed?

Answer 11

i need steps have to show work

Answer 12

Okay No problem.

Answer 13

g(x)=1/3x-7
y=1/3x-7
x=1/3y-7
add 7 to both sides
f^-1=1/3(x+7)
is this right for inverse or do i need more

Answer 14

give me about 3 minutes alrighty ?

Answer 15

ok

Answer 16

1/3x-7=y
1/3x*3x-7*3x=y*3x
1-21x=3yx
1-21-1=3yx-1
-21x=3yx-1
-21x-3yx=3yx-1-3yx
-21x-3yx=-1
=-3x(y+7)=-1
-3x(y+7)/-3(y+7)=-1/-3(y+7)
X=1/3(y+7)

Answer 17

That is for your inverse ^

Answer 18

domain and range work?

Answer 19

I mean, you could just say finding the inverse it shows now that your Range and Domain is This (answers i gave) ~ Could totally make something up like that and your math teacher would go with it lol. i've done it too many times rofl.

Answer 20

although that being said i would upload a graph as well (which i will provide)

Answer 21

lol ok is there any way i could use what i had but add more and still be right i don't want to copy

Answer 22

Yes actually, you could add in the step rules to explain what each step is more

Answer 23

i mean from what i had

Answer 24

just copy and paste it and tell me what to add to what i had

Answer 25

honestly? your math looks more than fine. you need to change your X however in the parenthesis to a Y and you should be fine.

Answer 26

ok lol

Answer 27

i have a couple more questions and then i promise i'm done

Answer 28

I don't mind , welcome to question cove xD

Answer 29

@Vocaloid you there ?

Answer 30

let f(x)=1/x and g(x)=x^2-5x find f*g(x) find domain and range

Answer 31

Nah, shes testing at this time @RektbyFaith

Answer 32

Ah

Answer 33

domain and range i can just graph it right?

Answer 34

Yep. Honestly, I can't help you with these specifically. I am really terrible at functions, Volc helped me last time with them.

Answer 35

Welp, all our math users are offline at this second, would you mind waiting for one to come online?

Answer 36

i can wait but not too long

Answer 37

Find the inverse function of f.
f(x)=(1+3x)/(5-2x)

Interchange x and y to get:
x=(1+3y)/(5-2y)

Solve for y as follows:
5x-2xy=1+3y

3y+2xy=5x-1
y(3+2x)=5x-1
y=(5x-1)/(2x+3)

This is the inverse function

Answer 38

IDK does this seem right? @Ultrilliam

Answer 39

@Kaylak @rektbyfaith