Answer:
option D
y = -1/3x + 2/7
Step-by-step explanation:
y = -3x + 6/7
Step1
Interchange the variables
x = -3y + 6/7
Step2
Solve for y
x - 6/7 = -3y
y = [tex]\frac{\frac{6}{7}-x }{3}[/tex]
step3
Solve for y and replace with f−1(x)
[tex]f^{-1}(x)[/tex]=[tex]\frac{\frac{6}{7}-x }{3}[/tex]
step4
simplify
[tex]y ={\frac{6}{7(3)}-\frac{x}{3}}[/tex]
=[tex]{\frac{2}{7}-\frac{x}{3} }[/tex]
