SOLUTION: Find the inverse of the function. f(x)=2x+1

Algebra ->  Functions -> SOLUTION: Find the inverse of the function. f(x)=2x+1      Log On


   

Question 443761: Find the inverse of the function.
f(x)=2x+1
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=2x+1
y = 2x+1
switch the x and y's:
x = 2y+1
solve for y:
x = 2y+1
x-1 = 2y
x/2 - 1/2 = y
.
therefore
f'(x) = x/2 - 1/2
or
f'(x) = (1/2)x - 1/2