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Answer:
(x) = √ x + 4
Step-by-step explanation:
step 1) replace f(x) with y
y = x² - 4
step 2) switch the x and y (because every (x, y) has a (y, x))
x = y² - 4
step 3) add 4 to both sides of the equal sign
x + 4 = y²
step 4) take the square root of both sides of the equal sign (the square root symbol cancels out the ²)
√ x + 4 = y
step 5) you know have the inverse of f(x) = x² - 4
(x) = √ x + 4