Question

if f(x) = -3x+3, then f^-1(x) =
That's all the question asks about
It's under Inverse of a function

Answer 1

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.

Answer 2

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)