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Precalculus 9-12 / Week 04
Week 04

Inverses Everywhere

// The winch rule run backwards

An inverse function undoes a rule: if f sends 10 turns to 6 meters of rope, f⁻¹ sends 6 meters back to 10 turns. To find it, swap x and y and solve for y, or undo each step last step first. A logarithm is the inverse of an exponential, so log₂ 16 = 4 solves 2ˣ = 16. Composing a rule with its inverse gives x both ways, and the inverse graph is the mirror of the graph across y = x. Shifting a rule up moves its inverse right by the same amount. The crew runs every rule in the Boathouse log backwards.

DAYS THIS WEEK

MONDAY

Monday

17 blocks · 3 graded

TUESDAY

Tuesday

17 blocks · 4 graded

WEDNESDAY

Wednesday

17 blocks · 3 graded

THURSDAY

Thursday

18 blocks · 4 graded

FRIDAY

Friday

16 blocks · 4 graded

DOCK DAY

Dock Day

9 blocks · 2 graded

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