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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))?

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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))?

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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