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Function Notation Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Function notation
A way to represent functions using symbols such as f(x), where f is the function and x is the input.
f(x) = x + 3
This means the function adds 3 to the input value x.
f(2) when f(x) = x^2
Substitute x = 2 into the function: f(2) = 2^2 = 4.
f(x) = 2x + 5, find f(3)
Substitute x = 3: f(3) = 2(3) + 5 = 11.
Inverse function notation
The inverse of a function f(x) is written as f⁻¹(x) and reverses the effect of f(x).
Composite function notation
A composite function combines two functions, written as (f ∘ g)(x), meaning f(g(x)).
Domain of a function
The set of all possible input values (x) for which the function is defined.
Range of a function
The set of all possible output values (f(x)) of a function.
f(x) = 3x - 4, find x when f(x) = 5
Set 3x - 4 = 5 and solve: 3x = 9, so x = 3.
f(x) = x^2, g(x) = x + 1, find (f ∘ g)(2)
First find g(2): g(2) = 2 + 1 = 3. Then find f(3): f(3) = 3^2 = 9.
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