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}

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: h

step-by-step explanation: