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Paper 2 · Functions and Graphs

The function f:xmx+nf:x\mapsto\dfrac{m}{x}+n. State the domain of f(x)f(x).

Model answer

x is real, x not equal to 0

Also accepted: x!=0, all real x except 0

Explanation: Since mx\tfrac{m}x is undefined at x=0x=0, the domain is xR,x0x\in\mathbb{R}, x\ne0.

Derived from ZIMSEC Pure Mathematics Paper 2, November 2025, Q5

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