Find the Domain f(x)=4/9x+26/9

Problem

ƒ(x)=4/9*x+26/9

Solution

1. Identify the type of function. The given expression is a linear function of the form ƒ(x)=m*x+b

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. In ƒ(x)=4/9*x+26/9 the variable x is in the numerator. There are no variables in any denominator, no radicals, and no logarithms.

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

Final Answer

Domain: *(−∞,∞)

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