Question

x = 2|y| - 1

Find four points contained in the inverse. Express your values as an integer or simplified fraction.

{( , ), ( , ), ( , ), ( , )}''.

Answer 1

@vocaloid

Answer 2

previous person provided a good explanation: https://questioncove.com/users/kyledagreat#/updates/61843567887fa425ca3eb800

but in case you need a reiteration: to find the inverse, you switch the x and y, and solve again for y

x = 2|y| - 1 ----> becomes y = 2|x| - 1

this is already solved for y, so y = 2|x| - 1 is our inverse. it just asks for any four points, so pick any four x-values (previous person picked x = 0, 1, 2, and 3), plug them in, find the corresponding y-values, list the points out

Answer 3

so starting with x = 0

y = 2|x| - 1 ---> y = 2|0| - 1 = -1
so one point is (0,-1)

repeat with the other x-values

Answer 4

is it

{(0 , -1), ( 2,3 ), (3 , 5), (5 , 9)}''.

Answer 5

yeah those 4 points should work

Answer 6

are you sure ?

Answer 7

yeah, just to be sure I graphed the inverse and it checks out

https://www.wolframalpha.com/input/?i=inverse+of+x+%3D+2%7Cy%7C+-+1

Answer 8

that's right