inverse function of f(x) = sqrt x +4 -1
To find the inverse function of f(x) = sqrt(x) + 4 - 1, we first need to switch the roles of x and y and then solve for y.
Let y = sqrt(x) + 4 - 1
Swap x and y:
x = sqrt(y) + 4 - 1
Simplify:
x = sqrt(y) + 3
Subtract 3 from both sides:
x - 3 = sqrt(y)
Square both sides to eliminate the square root:
(x - 3)^2 = y
Therefore, the inverse function is:
f^(-1)(x) = (x - 3)^2