Answer:
[tex]f^{-1}(x)[/tex] = ±√(x + 4)
Step-by-step explanation:
f(x) = x² - 4
substitute y for f(x): y = x² - 4
Swap y and x: x = y² - 4
Make y the subject: x + 4 = y² ⇒ y = ±√(x + 4)
substitute [tex]f^{-1}(x)[/tex] for y: [tex]f^{-1}(x)[/tex] = ±√(x + 4)
