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

f(x)=3x−24 f(x) = \frac{3x - 2}{4} f(x)=43x−2​
a.

Find f(−7)f(-7)f(−7)

[2]
b.

Express the inverse function f−1f^{-1}f−1 in the form f−1(x)=…f^{-1}(x) = \dotsf−1(x)=…

[2]
c.

The function g g\,g is such that

g(x)=19−x g(x) = \sqrt{19 - x} g(x)=19−x​

Find fg(3)fg(3)fg(3)

[3]
d.

Which values cannot be included in any domain of ggg?

[2]

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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