SOLUTION: Determine which of the following functions have inverse. Assume their domains are the set of real numbers unless specified otherwise. Derive the inverse function, x = f−1(y), whe

Algebra ->  Inverses -> SOLUTION: Determine which of the following functions have inverse. Assume their domains are the set of real numbers unless specified otherwise. Derive the inverse function, x = f−1(y), whe      Log On


   

Question 1147270: Determine which of the following functions have inverse. Assume their domains are the set of real numbers unless specified otherwise. Derive the inverse function, x = f−1(y), where applicable.
(a) y=21+7x (b) y = x2 + 5
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
a) y = 7x + 21
y - 21 = 7x
(y - 21)/7 = x

f^(-1)(y) = (y - 21)/7

b) y = x^2 + 5
y - 5 = x^2
sqrt(y - 5) = x

f^(-1)(y) = sqrt(y - 5)