inverse function of f(x) = sqrt (x +4) -1
To find the inverse of the function f(x) = sqrt(x+4) - 1, we first switch the roles of x and y:
x = sqrt(y+4) - 1
Then, isolate y by manipulating the equation:
x + 1 = sqrt(y+4)
(x + 1)^2 = y + 4
y = (x + 1)^2 - 4
Therefore, the inverse function is:
f^(-1)(x) = (x + 1)^2 - 4