EVERYTHING FUNCTIONS in 40 minutes! Higher Tier | GCSE Maths Pro

In this video we go through the whole topic of Functions. This includes starting with the basics of functions, then looking at composite functions followed by inverse functions and finally a couple of questions on solving equations involving different types of functions. This is a HIGHER TIER topic only. If you would like to go over more examples check out the individual functions videos: Functions videos (higher tier only): Part 1 - Functions    • Functions - Functions Part 1 | GCSE Maths Pro   Part 2 - Composite Functions    • Composite Functions - Functions Part 2 | G...   Part 3 - Inverse Functions    • Inverse Functions - Functions Part 3 | GCS...   Part 4 - Functions Solving Equations    • Functions Solving Equations - Functions Pa...   Algebra playlist:    • Algebra   Factorising quadratics playlist:    • Factorising   Comment down below if you have any questions! Questions: 0:00 Introduction 0:56 Functions 1:17 Q1. f(x) = 4x-5, find f(7) 2:24 Q2. f(x) = (5x+2)/3, find f(8) 3:05 Q3. f(x) = √(16-2x), find f(-10) 3:52 Q4. f(x) = 3x+8, solve f(x) = -19 5:46 Composite Functions 6:22 Q5. f(x) = 2x+3 & g(x) = x-7, find fg(x) 8:53 Q6. f(x) = 2x+3 & g(x) = x-7, find gf(x) 10:33 Q7. f(x) = 2x+3 & g(x) = x-7, find ff(x) 12:18 Q8. f(x) = (2x-4)/4 & g(x) = x^2+5, find gf(x) 15:06 Q9. f(x) = (9x-6)/3 & g(x) = (x-3)^2, find fg(-1) 12:26 Q10. f(x) = 0.5x+4 & g(x) = 2(x+1), solve fg(x) = 13 19:40 Inverse Functions 20:19 Q11. f(x) = 3x-1, find f-1(x) 22:23 Q12. g(x) = 2x/3 - 4, find g-1(x) 24:40 Q13. f(x) = 8x-13, find f-1(3) 27:18 Q14. g(x) = (9x-1)/11, find g-1(-5) 28:44 Q15. g(x) = √(x+8) /2, solve g-1(x) = 16 29:50 Q15. First option 31:27 Q15. Second option 34:41 Solving Equations with Functions 34:56 Q16. f(x) = x+1 & g(x) = 4x-11, solve fg(x) = gg(x) 37:47 Q17. f(x) = (4x+3)/6 & g(x) = 3/2x, solve f-1(x) = gf(x) Follow me for more content here: TikTok:   / gcsemathspro   Instagram:   / gcsemathspro   Welcome to the GCSE Maths Pro YouTube Channel! My name is Millie and I am a GCSE Maths tutor with 3 years experience. If you are interested in tutoring for GCSE Maths drop me an email: [email protected]