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Question

Find the domain of the function:
f(x)=x2+3x+5x25x+4. [2 marks]

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Solution

Domain of a real-valued function is the set of values where function is defined.
Given, f(x)=x2+3x+5x25x+4
The function can be defined when denominator 0
x25x+40
(x4)(x1)0
x4 and 1 [1 mark]
The function is defined for all real numbers except at x = 4 and x = 1.
Hence, domain of the function is R – {1, 4}. [1 mark]

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