Inverse and Composite Functions
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The function f f\,f is such that

f(x)=3x−2 f(x) = \frac{3}{x-2} f(x)=x−23​
a.

Find f(1)f(1)f(1)

[2]
b.

State which value of x x\,x must be excluded from any domain of fff

[2]
c.

The function g g\,g is such that g(x)=x+4g(x) = x + 4g(x)=x+4

Calculate fg(2)fg(2)fg(2)

[3]

Inverse and Composite Functions Questions

Practise CIE IGCSE Maths Inverse and Composite Functions with exam-style questions for Core and Extended tier. 4 questions, matched to the CIE IGCSE Maths (0580) specification and written in Paper 1 and Paper 3 (Core) or Paper 2 and Paper 4 (Extended) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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Inverse and Composite Functions Questions

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