Question

If f(x) = x³ – 1 and domain of f = {0, 1, 2, 3}, then domain of f^–1 is ______.

Options

• {0, 1, 2, 3}

• {1, 0, –7, –26}

• {–1, 0, 7, 26}

• {0, –1, –2, –3}

Answer 1

If f(x) = x³ – 1 and domain of f = {0, 1, 2, 3}, then domain of f^–1 is {–1, 0, 7, 26}.

Explanation:

∴ The domain of f^–1(x)

= range of f(x)

= {–1, 0, 7, 26}