Question

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

Answer 1

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 = $\frac{\frac{6}{7}-x }{3}$

step3

Solve for y and replace with f−1(x)

$f^{-1}(x)$=$\frac{\frac{6}{7}-x }{3}$

step4

simplify

$y ={\frac{6}{7(3)}-\frac{x}{3}}$

=${\frac{2}{7}-\frac{x}{3} }$

Answer 2

Answer:

D

Step-by-step explanation:

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