Question

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

Answer 1

Answer: The answer would be f^-1 (x) = x/2 - 3/2

Answer 2

Answer:

$y=\frac{x-3}{2}$

Step-by-step explanation:

The given function is

$f(x)=2x+3$

To find the inverse of this function, we have to replace $f(x)$ for $y$, and then isolate $x$, as follows

$y=2x+3\\y-3=2x\\2x=y-3\\x=\frac{y-3}{2}$

Then, we have to switch variables, as follows

$y=\frac{x-3}{2}$

Therefore, the inverse of the given function is

$y=\frac{x-3}{2}$

The graph attached shows both functions. The blue line is the inverse of $f(x)$