Respuesta :

Answer:

[tex]f^{-1} (x)=\frac{x-3}{2}[/tex]

Step-by-step explanation:

Given : f(x)=2x+3

To Find: inverse of f(x) = 2x + 3

Solution:

Let f(x)=y

⇒y=2x+3

Now replace y by x and x by y

⇒x=2y+3

Now find y

⇒x-3=2y

⇒[tex]\frac{x-3}{2}=y[/tex]

Thus [tex]f^{-1} (x)=\frac{x-3}{2}[/tex]