Question

How to find the inverse of f(x)=2x+1

Answer 1

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

Explanation:

To find the inverse function for y = f(x), solve the equation ...

x = f(y)

x = 2y +1 . . . . . . . use the function definition

x-1 = 2y . . . . . . . . undo the addition of 1 (subtract 1)

(x -1)/2 = y . . . . . undo the multiplication by 2 (divide by 2)

The inverse function is ...

f⁻¹(x) = (x -1)/2