The answer is 1) ± √x+81
Step 1: Substitute y for f(x).
Step 2: Since every (x, y) has its partner (y, x)y switch x and y.
Step 3: Solve for y.
Step 1.
The function is: f(x) = x² - 81
Substitute y for f(x): y = x² - 81
Step 2.
Switch x and y: x = y² - 81
Step 3.
Solve for y (which is now f⁻¹(x)): f⁻¹(x) = y
x = y² - 81
y² = x + 81
y = +-√(x+81)
Therefore, the choice 1) is correct.
