Question

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

Answer 1

`f^(-1)`(x) = (x - 3) / 2

Explanation:

To find the inverse of a function, we need to switch the roles of the input and output variables and solve for the original input variable. In other words, we need to solve the equation y = 2x + 3 for x in terms of y. We can do this as follows:

y = 2x + 3

y - 3 = 2x

x = (y - 3) / 2

Therefore, the inverse function of f(x) = 2x + 3 is:

f^(-1)(x) = (x - 3) / 2