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

Question

asked Apr 1, 2020 232k views

2 Answers

ChristianM · Answer 1 · 2020-04-06T20:34:03+0000

Answer:

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) }