Question

What is the inverse of y = 5 - 3x? Show all your steps

Answer 1

write the same equation in term of y that is the inverse

Answer 2

In inverse functions, the \(x\) replaces \(y\). Here,\[x = 5 - 3y\]Now solve for \(y\).

Answer 3

Well, I kinda get the idea how to do this. Just want step by step. I have done similar problems.

Answer 4

switch the x & y
x = 5 - 3y
subtract 5 from each side
x - 5 = -3y
divide by -3 on each side
so (x-5)/3

Answer 5

\[\begin{aligned}x-5&=-3y \\ {x -5 \over -3}&=y \end{aligned}\]

Answer 6

Or,\[{-x + 5 \over 3} = y\]Or\[{5 - x \over 3} = y\]

Answer 7

Ahh, so I am just switching x and y around?

Answer 8

Yeah

Answer 9

Gotcha, thanks ya'll! (: