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 giv

Question

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(x)=-\frac{1}{2} \sqrt{x+3} ,x\geq -3
f -1(x) = _ x^2 – _ , for x ≤ _

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Autumn 7 days 2021-11-21T14:02:26+00:00 1 Answer 0 views 0

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    2021-11-21T14:04:10+00:00

    Answer:

    (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

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