Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Find the inverse of the given function.
f -1(x) = _ x^2 - _ , for x ≤ _

(f^-1)(x) = 4x² - 3, x ≤ 0

Step-by-step explanation:

y = -½(sqrt(x+3))

Make x the subject

-2y = sqrt(x+3)

(-2y)² = x+3

x = 4y² - 3

(f^-1)(x) = 4x² - 3

Domain of f^-1 is the range of f

At x = -3, f(x) = 0

At x > -3, f(x) < 0

Range of f is ≤0

So domain on f^-1 is ≤ 0

b

step-by-step explanation: