Find the domain of f(x) = x/3 - x, x R, the set of real numbers.

Correct Answer is : {x:x∈R,x≠3}\{x : x R, x ≠ 3\}{x:x∈R,x=3}

Correct Answer is : {x:x∈R,x≠3}\{x : x R, x ≠ 3\}{x:x∈R,x=3}

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WAEC Further Mathematics 2010 Paper

Question : 1

Total: 40

f(x) = \frac{x}{3 - x}, x \in R

, the set of real numbers.

Solution:

Concept:

A rational function is defined for all real numbers except where its denominator equals zero.

Explanation:

We have

f(x) = \frac{x}{3 - x}

The function becomes undefined when the denominator is zero.

Set the denominator to zero:

3 - x = 0

So,

x = 3

Hence,

f(x)

is defined for every real number except

x = 3

Therefore, the domain is

\{x : x \in R, x \neq 3\}

Answer:

Option A:

\{x : x \in R, x \neq 3\}

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