How do you find the inverse of #y=4x+7#?

1 Answer
Oct 5, 2016

#x= (y-7)/4#

Explanation:

You usually have your function expressed as #y=f(x)#, so that the #y# variable is isolated. To find the inverse function, you need to isolate the #x# variable, and express it as dependent of the #y# variable.

Solving by #x#, we have

#y=4x+7 \to #y-7 = 4x \to (y-7)/4 = x#

and there is your inverse function!