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]