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):}`

Answer 1

f^–1(x) = `{{:(x,  "if"  x < 1),(sqrt(x),  "if"  1 ≤ x ≤ 16),(x^2/64,  "if"  x > 16):}`