Which of the given function is linear?*f (x) = | 3x – 1|f(x) = 2/(x + 7)f(x) = √x - 4f(x) = 2x/3

Question

Which of the given function is linear?*f (x) = | 3x – 1|f(x) = 2/(x + 7)f(x) = √x - 4f(x) = 2x/3
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Solution 1

The function that is linear among the given functions is f(x) = 2x/3.

Here's why:

  1. f (x) = | 3x – 1|: This is an absolute value function, not a linear function. A linear function is of the form y = mx + c, where m and c are constants. The absolute value function does not fit this form.

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