Domain Of A Function Of Square Root
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Example 7 find the domain of the function f x dfrac sqrt 6 x sqrt x 2.
Domain of a function of square root. Remember the domain of a function is the complete set of possible values of the independent variable. Write a square root function matching each description. F x 1 1 x solution. Hence x 1 0.
Hence the domain of the given function is an empty set and the given function has no graph. The domain is all values of that make the expression defined. Solution the given function takes real values if two conditions are satisfied. Find the domain of the following function.
Hence the domain of the given function is x 2 example 2. We do this because only nonnegative numbers have a real square root in other words we can not take the square root of a negative number and get a real number which means we have to use. Try to graph it using a graphing calculator. Find the domain and range y square root of x set the radicand in greater than or equal to to find where the expression is defined.
For f x to have real values the radicand expression under the radical of the square root function must be positive or equal to 0. Here are the steps required for finding the domain of a square root function. Set the expression inside the square root greater than or equal to zero. 1 x 1 0 1 x 1.
Since the square root sign is in numerator we need to equate the expression inside the radical sign to 0 1 x 0. This is a topic level video of domain of a square root function. Subtract 1 on both sides. The parent function f x 1x is compressed horizontally by a factor of 7 5 and translated 2 units up.
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