AQA Level 2 Certificate Further Maths
Topic questions Pure mathematics Composite and inverse functions
7 questions · 33 marks · about 45 minutes
The function f is given by f(x) = 5 x + 3
Work out the domain of the function, giving your answer as an inequality.
The function g is given by g(x) = x3 – 4
Work out the range of the function, giving your answer as an inequality.
f(x) = 4x3 – 7 g(x) = 6x + 8
Work out the value of x for which f(2 x) = gf(x)
g(x) = 18x2 + 15x
Work out the values of a, b and c.
The function f is given by f(x) = 2 x + 1
Work out x when f(x) = – 5
The function g is given by g(x) = x2
Work out fg(3)
g(x) = 6 – 3 x
The function f is given by f(x) = 3 x – 5
Work out the domain of the function.
The function g is given by g(x) = x2 – 4 with domain –1 
x 
3
Work out the range of the function.
f(x) = (x + 2)3 g is a function such that gf(x) = (x + 2)12
Work out an expression for g(x)
h(x) = x2 + 5 k is a function such that hk(x) = 4x2 + 5
Work out an expression for kh(x)
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