Question

inverse of the function f(x)=2x

Answer 1

To find the inverse of a function, we need to swap the x and y variables and then solve for y.

Given f(x) = 2x, we can rewrite it as:

y = 2x

Now, we swap x and y:

x = 2y

To solve for y, we divide both sides by 2:

y = x/2

Therefore, the inverse of the function f(x) = 2x is f^(-1)(x) = x/2.