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Find the Domain of the Square Root of a Linear Function

An interactive step by step calculator and solver to find the domain of a square root function is presented. As many exmaples as necessary may be generated and the steps explained.





Step by step solution

STEP 1: The radicand (the expression under radical) must be positive or equal to 0 so that $f(x)$ takes real values. Write this condition as an inequality.

STEP 2: Solve the inequality obtained and write the domain using inequalities.

STEP 3 : Write the domain using intervals.

Graphical Meaning of Solution

Below are shown the graphs of the given function (blue) and its radicand (green). The graph of the function exist only for values of $x$ for which the radicand is positive (graph above $x$-axis).

(Change scales if necessary)





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