Question

Which function is the inverse of y = -3x + 6/7?

a; y = -1/3x + 18/7
b: y = -1/3x + 7/6
c: y = -3x - 6/7
d: y = -1/3x + 2/7

Answer 1

D

Explanation:

Swap x for y and y for x. Then solve the equation for y.

Answer 2

option D

y = -1/3x + 2/7

Explanation:

y = -3x + 6/7

Step1

Interchange the variables

x = -3y + 6/7

Step2

Solve for y

x - 6/7 = -3y

y =
`((6)/(7)-x )/(3)`

step3

Solve for y and replace with f−1(x)

`f^(-1)(x)`=
`((6)/(7)-x )/(3)`

step4

simplify

`y ={(6)/(7(3))-(x)/(3)}`

=
`{(2)/(7)-(x)/(3) }`