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IB Mathematics: Applications and Interpretation SL · 12.5: Functions · 12.5.3

Inverse functions Problem set A Answers

Skills

    1. (a) (4.48, 1.5)
    2. (b) y = x
  1. (3, 1), (5, 2), (9, 4), (13, 6)

    1. (a) 8
    2. (b) 4
    3. (c) (8, 3)
    1. (a) (3.16, 0.5)
    2. (b) 0.500. The point \((3.16, 0.5)\) lies on \(y=\log_{10}x\), as the reflection should.

In context

    1. (a) 38
    2. (b) 4. Four tickets cost £50.
    3. (c) (62, 5)
    1. (a) (31, 50)
    2. (b) 31 miles is 50 km. \(f^{-1}\) turns miles into kilometres.

Stretch

    1. (a) (4, 4)
    2. (b) (4, 4). A point on the mirror line is its own reflection.

jmaths.xyz · AI SL · 12.5.3 Inverse functions