Find the Domain f(x)=|5x|+4

Problem

ƒ(x)=|5*x|+4

Solution

1. Identify the type of function. The function ƒ(x)=|5*x|+4 is an absolute value function.

2. Check for restrictions. A function's domain is restricted if there are denominators that could be zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Analyze the expression. The expression |5*x|+4 involves multiplication and absolute value, both of which are defined for all real numbers.

4. Determine the domain. Since there are no values of x that make the expression undefined, the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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