The inverse of a function is given by (f^{-1} : x to frac{x + 1}{4}).
-
A.
(f : x to 4x – 1) -
B.
(f : x to 4x + 1) -
C.
(f : x to frac{4x – 1}{4}) -
D.
(f : x to frac{x – 1}{2})
Correct Answer: Option A
Explanation
The inverse of the inverse of a function gives the function
i.e (f^{-1}(f^{-1}(x)) = f(x))
(f^{-1}(x) = frac{x + 1}{4})
Take y = x, so
(f^{-1}(y) = frac{y + 1}{4})
Let (x = f^{-1}(y)),
(x = frac{y + 1}{4} implies 4x = y + 1)
(y = f(x) = 4x – 1)