26 A level Mathematics Composite Functions Part 2

In this A-level mathematics video, we delve into composite functions, specifically addressing whether the order of operations matters. We investigate if fg(x) is always equivalent to gf(x). To explore this, we work through a practical example using f(x) = x squared + 1 and g(x) = x + 5. We meticulously calculate both fg(x) and gf(x) to observe their distinct results. This detailed breakdown demonstrates that composite functions are not commutative, meaning the order in which they are applied is crucial to the final outcome. Subscribe to @AxiomTutoringCourses for more A-level mathematics tutorials.