GCSE Secondary Maths Age 13-17 - Algebra: Functions - Explained

The video tutorial introduces new topics in GCSE and A-level papers, focusing on functions. It covers calculating F(10) using BIDMAS, finding the inverse of G(X), and proving that F(F(X)) equals 9X - 48. Each section provides step-by-step guidance and highlights key concepts in functions.

What is the value of F(10) if F(x) = 3(x - 4)?

• 18

• 12

• 24

• 30

What does the '-1' signify in the expression G^-1(x)?

• It is an exponent.

• It indicates subtraction.

• It represents the inverse function.

• It is a coefficient.

What is the first step in finding the inverse of G(x) = x/5 + 1?

• Multiply both sides by 5.

• Add 1 to both sides.

• Subtract 1 from both sides.

• Divide both sides by 5.

What is the result of applying F(x) = 3(x - 4) twice?

• 6x - 24

• 9x - 48

• 12x - 36

• 15x - 60

What is the purpose of applying the function F twice in the given problem?

• To find the derivative of F.

• To calculate the integral of F.

• To prove F(F(x)) equals 9x - 48.

• To determine the limit of F.