Question

Is y = 3x + 3 and y = 3x - 3 an inverse function? Explain why/how?

Answer 1

are you asking if the two functions are inverses of each other?

Answer 2

yes

Answer 3

ok, so to find an inverse function, you solve a function for x, instead of y. then once you have something like x = _____. you then replace all the x's with y's and all the y's with x's

so solve the first equation for x. then replace all the x's with y's and all the y's with x's. Is the resultant equation the same as the second equation. if so, then the two are inverse functions.

Answer 4

are the two functions inverse

Answer 5

try to find the inverse of the first function first, using the process I showed above.

Answer 6

and then you'll tell me

Answer 7

yes

Answer 8

I already did and I couldn't tell

Answer 9

y = 3x + 3

y-3 = 3x

x = (y-3)/3

// change the x's for y's and the y's for x's

y = (x-3)/3

so the inverse of the first function is not equal to the second function

Answer 10

@saifoo.khan Is Tomo right?

Answer 11

Yes

Answer 12

Can you explain why, because you're a better explainer

Answer 13

https://www.khanacademy.org/math/trigonometry/functions_and_graphs/fucntion_inverses/v/function-inverse-example-1

Answer 14

Can you not explain it

Answer 15

Explaination is there int he video.

Answer 16

I know I watched the video already didn't help

Answer 17

Actually we have to solve it this way:
y = 3x + 3
Our goal is to make 'x' the subject first.

After solving you should get:

x = (y-3)/3

now simply change x as y and y as x.

y = (x-3)/3
Hence that's our inverse.

@tomo showed the same thing too.

Answer 18

can you show it graphical

Answer 19

For graphing representation, we reflect the line to line y=x.

See that video to understand it.

Answer 20

Are you sure it's right? Answer is: y = 3x + 3 y = x - 3 / 3. @saifoo.khan

Answer 21

@tomo what's the inverse of y = -3 is it x = -3

Answer 22

@genius12 Is the inverse of y = -3, x = -3