which equation can be simplified to find the inverse of y=2x-7 ?
A.
[tex]x = y {}^{2} - \frac{1}{7} [/tex]
B.
[tex] \frac{1}{x} = {y}^{2} - 7[/tex]
C.
[tex]x = {y}^{2} - 7[/tex]
D.
[tex] - x = {y}^{2} - 7[/tex]

Respuesta :

y = 2x - 7

Inverse:

x = 2y - 7

x + 7 = 2y

(x + 7)/2 = y

Answer: y = x/2 + 7/2

Answer with explanation:

The given Linear equation is:

  y=2 x -7

→2 x= y +7

[tex]x=\frac{y+7}{2}[/tex]

Replacing , x by ,y and y by x to get inverse of the given function

 [tex]y=\frac{x+7}{2}[/tex]

2 y = x +7→→Inverse of the function, y= 2 x -7

→None of the Option Matches with the given options.