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Question
Find the domain of the following function given by:
f(x) = `(3x)/(2x - 8)`
Solution
f(x) = `(3x)/(2x - 8)`
A function is undefined when the denominator equals 0. So, set the denominator 2x − 8 equal to 0:
2x − 8 = 0
2x = 8
x = 4
The function f(x) is undefined at x = 4 because division by zero is not allowed.
Doamin of f(x) = R − {4}
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