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.
Graphical Meaning of Solution
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.
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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