If f (x) = - 3x+3, then f^-1 (x) =

That's all the question asks about

It's under Inverse of a function

To solve for inverse

replce f (x) with y

switch x and y

solve for y

replace y with f⁻¹ (x)

f (x) = - 3x+3

replace with y

y=-3x+3

switch x and y

x=-3y+3

solve for y

x-3=-3y

1 - (x/3) = y

f⁻¹ (x) = 1 - (x/3)

To obtain the inverse of the function, simply switch the X and y variables for each other, and solve for the new y variable, to find the new function.

F (X) = - 3x + 3

Y = - 3X + 3

X = - 3y + 3

-3y = X - 3

Y = - 1/3X + 1.

F^-1 (X) = - 1/3 (-1) + 1

F^-1 (X) = 1/3 + 3/3

F^-1 (X) = 4/3.

I believe this would be the correct solution.