Answer:
[tex]f^{-1}(x)=\sqrt{x}+2[/tex]
Step-by-step explanation:
Given function is,
f(x) = (x - 2)²
Step - 1
Rewrite the function in the form of a equation.
y = (x - 2)²
Step - 2
Interchange the variables 'x' and 'y',
x = (y - 2)²
Step - 3
Solve the equation for y,
x = (y - 2)²
y - 2 = √x
y = 2 + √x
Step - 4
Rewrite the equation in the form of a function,
[tex]f^{-1}(x)=\sqrt{x}+2[/tex]
