Which function is the inverse of f(x) = 2x + 3?

Solution:

We will use the concept of transposition to find the inverse function.

We have been given a function f(x) = 2x + 3

For finding inverse we will solve y = 2x + 3 to write x as a function of y and that will be our inverse function.

Therefore, we have

y = 2x + 3 

y - 3 = 2x

(y - 3) / 2 = x

Now substituting x in place of y and f^-1(x) in place of x, we get , f^-1(x) = (x - 3) / 2 

You can use the inverse function formula to verify the result.

Hence , f^-1(x) = (x - 3) / 2 is the required inverse function.

Which function is the inverse of f(x) = 2x + 3?

Summary:

The inverse of the function f(x) = 2x + 3 is f^-1(x) = (x - 3) / 2