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Question
Choose the correct alternative:
The inverse of f(x) = `{{:(x, "if" x < 1),(x^2, "if" 1 ≤ x ≤ 4),(8sqrt(x), "if" x > 4):}` is
Options
f–1(x) = `{{:(x, "if" x < 1),(sqrt(x), "if" 1 ≤ x ≤ 16),(x^2/64, "if" x > 16):}`
f–1(x) = `{{:(- x, "if" x < 1),(sqrt(x), "if" 1 ≤ x ≤ 16),(x^2/64, "if" x > 16):}`
f–1(x) = `{{:(x^2, "if" x < 1),(sqrt(x), "if" 1 ≤ x ≤ 16),(x^2/64, "if" x > 16):}`
f–1(x) = `{{:(2x, "if" x < 1),(sqrt(x), "if" 1 ≤ x ≤ 16),(x^2/64, "if" x > 16):}`
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Solution
f–1(x) = `{{:(x, "if" x < 1),(sqrt(x), "if" 1 ≤ x ≤ 16),(x^2/64, "if" x > 16):}`
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