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Videos, activities and worksheets that are suitable for A Level Maths. How to answer questions on composite functions?

**Functions - Composite functions (L6) Core 3 Edexcel A-Level**

A composite function is when two or more functions combine.

Examples:

The functions f,g, and h are defined for x ∈ ℝ, by

f(x) = 2x + 1, g(x) = x^{2}, h(x) = 1/x.

Find

(i) fg(2)

(ii) gf(3)

(iii) gf(x)

(iv) fg(x)

(v) f^{2}(x)

(vi) g^{2}(x)

(vii) h^{2}(x)

(viii) fgh(x)

**A-Level Edexcel C3 January 2008 Q8(b) : ExamSolutions**

Worked solution to this question on composite function.

Example:

Given f:x ↦ 1 - 2x^{2} and g: ↦ 3/x - 4

find gf(x)**A-Level Edexcel C3 January 2010 Q9ii(b)**

Worked solution to this question on composite functions.

f(x) = e^{2x} + 3, x ∈ ℝ

g(x) = ln(x -1), x ∈ ℝ, x > 1

Find fg(x)

**Composite functions - (IB Math, GCSE, A level, AP)**

f(x) = x - 2, g(x) = 3x^{2} + 1

a) what is (f￮g)(x)?

b) what is f(g(2))?

c) what is g(f(x))?

More Lessons for A Level Maths

Math Worksheets

Videos, activities and worksheets that are suitable for A Level Maths. How to answer questions on composite functions?

A composite function is when two or more functions combine.

Examples:

The functions f,g, and h are defined for x ∈ ℝ, by

f(x) = 2x + 1, g(x) = x

Find

(i) fg(2)

(ii) gf(3)

(iii) gf(x)

(iv) fg(x)

(v) f

(vi) g

(vii) h

(viii) fgh(x)

Worked solution to this question on composite function.

Example:

Given f:x ↦ 1 - 2x

find gf(x)

Worked solution to this question on composite functions.

f(x) = e

g(x) = ln(x -1), x ∈ ℝ, x > 1

Find fg(x)

f(x) = x - 2, g(x) = 3x

a) what is (f￮g)(x)?

b) what is f(g(2))?

c) what is g(f(x))?

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