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

Question

9516 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-15T02:11:46

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

#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!