Question

What is the inverse of the function f(x) = 2x - 10?

Answer 1

the answer for your question is x+10/2

Answer 2

`f^(-1)(x)=(x+10)/(2)`

Explanation:

We ate asked to find the inverse of the given function
`f(x)=2x-10`.

To find the inverse of function, first of all we will replace
`f(x)=y` and then interchange x and y values as shown below:

`y=2x-10`

Inter-change x and y variables:

`x=2y-10`

Solve for y using opposite operations:

`x+10=2y-10+10`

`x+10=2y`

Switch sides:

`2y=x+10`

Divide both sides by 2:

`(2y)/(2)=(x+10)/(2)`

`y=(x+10)/(2)`

We will inverse function notation
`f^(-1)(x)` to write the inverse function as:

`f^(-1)(x)=(x+10)/(2)`

Therefore, our required inverse function would be
`f^(-1)(x)=(x+10)/(2)`.