The function y = square root sign x is translated using the rule (x, y) → (x – 7, y + 2)to create f(x). what is the domain of f(x)? {x | x > –7} {x | x > 7} {x | x > –2} {x | x > 2} square root x

Second option {x | x > 7}

Step-by-step explanation:

We have the function

We know that the square root of a negative number has no solution in the real ones. Therefore the domain of this function is

When applying the transformation:

we have a translation of the original function in 7 units to the right and 2 units to the top:

In the same way we must guarantee that

Then .

Therefore the domain of f(x) is {x | x > 7}

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step-by-step explanation:

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