Question

Whats the inverse of y=3x+5

Answer 1

The inverse of y is

`\textbf{f}^(( -1 ))( x ) = \frac{\textbf{x-5}}{\textbf{3}}`

Explanation:

To Find the inverse of
`y = 3x+5`

STEP 1: Stick a "y" in for the "f(x)"

y = 3x+5

STEP 2: Switch the x and y ( because every (x, y) has a (y, x) partner! ):

`x = 3y+5`

STEP 3: Solve for y:

`{x-5}=3y`

`y=(x-5)/(3)`

STEP 4: Stick in the inverse notation,
`f^(( -1 ))( x )`

`f^(( -1 ))( x ) =(x-5)/(3)`

Therefore the inverse of y is

`f^(( -1 ))( x ) = (x-5)/(3)`