Question

The graph of f(x)= the square root of x is reflected across the x-axis and then across the y- axis to create the graph of function g(x). Which statements are true about the functions f(x) and g(x)
The functions have the same range

The functions have the same domains

The only value that is in both domains are 0

There are no values in both ranges of the functions

The domain of g(x) is all values greater than or equality to 0

The range of g(x) is all values less than or equal to 0

Answer 1

Answer:

A)The functions have the same range:FALSE the range changed from y ≥ 0 to y ≤ 0

B)The functions have the same domains. FALSE the doman changed from x ≥ 0 to x ≤ 0

C)The only value that is in the domains of both functions is 0. TRUE: the intersection of x ≥ 0 with x ≤ 0 is 0.

D)There are no values that are in the ranges of both functions. FALSE: 0 is in the ranges of both functions.

E)The domain of g(x) is all values greater than or equal to 0. FALSE: it was proved that the domain of g(x) is all values less than or equal to 0.

F)The range of g(x) is all values less than or equal to 0. TRUE: it was proved above.

Step-by-step explanation:

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