Question

What is the inverse of y=4x+5?

Answer 1

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)}`

Answer 2

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