Solve the equation by completing the square. Round to the nearest hundredth if necessary.
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We are given the following functions:
We are asked to determine the composite function:
The composition of functions is equivalent to:
Therefore, we replace the value of "x" in function "f" for the function "g", therefore, we get:
Since we can't simplify any further this is the composition.
Now we are asked to determine the domain of this function. Since we have a square root, the domain must be the values of "x" where the term inside the radical is greater or equal to zero, therefore, we have:
Now we solve for "x" by subtracting 6 from both sides:
Therefore, the domain is: