Question

Find the inverse of f(x)=(1/3x)-7 Please show the steps.

Answer 1

`y = 3(x +21)`

Explanation:

Find the inverse this equation:

`f(x) = ((1)/(3)x) - 7`

-Take the variable
`y` for
`f(x)`, because both

`y = ((1)/(3)x) - 7`

-Switch both variable
`x` and
`y` :

`y = ((1)/(3)x) - 7`

`x = ((1)/(3)y) - 7`

-Solve for
`y` :

`x = ((1)/(3)y) - 7`

-Switch sides:

`(1)/(3)y - 7 = x`

-Add both side of the equation by
`7` :

`(1)/(3)y - 7 + 7 = x + 7`

`(1)/(3)y = x + 7`

-Multiply both sides by
`3` :

`((1)/(3)y)/((1)/(3) ) = (x + 7)/((1)/(3) )`

`y = (x + 7)/((1)/(3) )`

-Divide
`x + 7` by multiplying by
`(1)/(3)`

`y = (x + 7)/((1)/(3) )`

`y = 3(x +21)`

Therefore, the answer is
`y = 3(x +21)`.