SOLUTION: Find the equation of the inverse of f(x) = 2x+9/3 Possible Solutions are: (A) f^1(x) = 3/2x+9 (B) f^1 (x) = 3x+9/2 (C) f^1 (x) = 2x-3 (D) f^1 (x) = 3x-9/2 Thank you

Algebra ->  College  -> Linear Algebra -> SOLUTION: Find the equation of the inverse of f(x) = 2x+9/3 Possible Solutions are: (A) f^1(x) = 3/2x+9 (B) f^1 (x) = 3x+9/2 (C) f^1 (x) = 2x-3 (D) f^1 (x) = 3x-9/2 Thank you      Log On


   

Question 31816: Find the equation of the inverse of f(x) = 2x+9/3
Possible Solutions are:
(A) f^1(x) = 3/2x+9
(B) f^1 (x) = 3x+9/2
(C) f^1 (x) = 2x-3
(D) f^1 (x) = 3x-9/2
Thank you!
Answer by mukhopadhyay(490) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = (2x+9)/3
=>y=(2x+9)/3
Switching x and y
x=(2y+9)/3
=>3x=2y+9
=>2y=3(x-3)
=>y=3/2(x-3)
=>y=3/2x-9/2
So, f^(-1) (x) = 3x-9/2
Correct answer is D