How do you find the inverse of y=-3x+1 and is it a function?

1 Answer
Mar 15, 2016

The inverse can be found algebraically by switching the x and y values.

Explanation:

y = -3x + 1

x = -3y + 1

x - 1 = -3y

-(x - 1)/3 = y

-1/3(x - 1) = y

-1/3(x - 1) = f^-1(x)

This is a linear relation and therefore a function (all linear relations are functions).

Hopefully this helps!