Identify the domain of the combined function h(x) = f(x) · g(x), if the domain of f(x) is (4, 4.5], and the domain of g(x) is [4, 4.5).the domain of h(x) is [4, 4.5] (4, 4.5) [4, 4.5) (4, 4.5]

the answer is b

Step-by-step explanation:

Option 2 - (4,4.5)

Step-by-step explanation:

Given : The combined function h(x) = f(x) · g(x). if the domain of f(x) is (4, 4.5], and the domain of g(x) is [4, 4.5).

To identify : The domain of h(x)?

Solution :

The given function h(x) = f(x) · g(x) is a composite function.

By definition of composite function the domain of the function is defined as the set of all values that go into the function.

The domain of f(x) is A=(4, 4.5]

The domain of g(x) is B= [4, 4.5)

h(x) = f(x) · g(x)

The domain of the function h(x) is intersection of the domain of f(x) and g(x).                                                        

Therefore, The domain of the function h(x) is (4,4.5).

Hence, Option 2 is correct.

0.02

step-by-step explanation:

time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 k (but other seconds are sometimes used in astronomy)

x = -5

step-by-step explanation: