Question

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

Answer 1

Answer:

$f^{-1}(x)=\frac{x+10}{2}$

Step-by-step 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:

$\frac{2y}{2}=\frac{x+10}{2}$

$y=\frac{x+10}{2}$

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

$f^{-1}(x)=\frac{x+10}{2}$

Therefore, our required inverse function would be $f^{-1}(x)=\frac{x+10}{2}$.

Answer 2

The answer for your question is x+10/2