72.5k views
2 votes
What is the inverse of y=4x+5?

User Balboa
by
7.9k points

2 Answers

1 vote

Given:


\sf y = 4x + 5

Switch x and y.


\sf x = 4y + 5

Solve for y.


\sf 4y = x - 5


\sf y = (1)/(4) \ x-(5)/(4)


\Rightarrow\boxed{\sf y = (1)/(4) \ x-(5)/(4)}

User Onur Uslu
by
8.2k points
5 votes
Y=(x-5)/4

Inverses are just replacing x and y and solving for y ->

X=4y+5
X-5=4y
(X-5)/4=y
User Michael Dowling
by
7.6k points

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