(d) Suppose that ƒ: P → Q and g: Q → R are functions. (i) Show that the composite function gof : P → R is bijective if both ƒ and g are bijective. (ii) If gof is bijective, show that (gof)−¹ = f−¹og¯¹.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Chapter10: Radical Functions And Equations
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(d) Suppose that ƒ: P → Q and g: Q→ R are functions.
(i) Show that the composite function gof: P→ R is bijective if both f and g are
bijective.
(ii) If gof is bijective, show that (gof)-¹ = f-¹og-¹.
Transcribed Image Text:(d) Suppose that ƒ: P → Q and g: Q→ R are functions. (i) Show that the composite function gof: P→ R is bijective if both f and g are bijective. (ii) If gof is bijective, show that (gof)-¹ = f-¹og-¹.
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