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Compare the domains of the logarithmic function f(x) and the square root function g(x).

Graph of f(x):



g(x)=sqrt2x-4




In two or more complete sentences, explain whether or not the domains of the two functions are the same.

Compare the domains of the logarithmic function fx and the square root function gx Graph of fx gxsqrt2x4 In two or more complete sentences explain whether or no class=

Respuesta :

carlosego
For f (x):
 The domain of the function is given by the values of x that satisfy the following inequality:
 x> 2
 Equivalently:
 (2, inf)

 For g (x):
 g (x) = sqrt (2x-4)
 The domain of the function is:
 2x - 4> = 0
 Clearing x we have:
 2x> = 4
 x> = 4/2
 x> = 2
 Equivalently:
 [2, inf)

 Answer:
 The domain of the functions is not the same because the function g (x) includes the value of x = 2 in its domain.
 The graph of f (x) does not include the value of x = 2 in its domain.

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