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yanalaym [24]
2 years ago
10

Consider the three functions: f(x) = Three-halves(4)x g(x) = Three-halves(4)–x h(x) = –Three-halves(4)x Which statements are tru

e about the domain and range of f(x), g(x), and h(x)? Check all that apply. f(x) has a domain of all real numbers. g(x) has a range of y < 0. h(x) has a range of y > 0. g(x) has a domain of all real numbers. h(x) has a domain of x > 0.
Mathematics
2 answers:
charle [14.2K]2 years ago
8 0

The correct option is;

The ranges of f(x) and h(x) are similar and different from the ranges of g(x)

Step-by-step explanation:

Here we have the functions given as follows;

f(x) = -6/11 (11/2)ˣ

g(x) = 6/11 (11/2)⁻ˣ

h(x) = -6/11 (11/2)⁻ˣ

from the above equations, it can be seen that f(x) and h(x) are always negative while g(x) is always positive

f(x) and h(x) are symmetric about the y axis while g(x) and h(x) are symmetric about the x axis

Also h(x) is the inverse of f(x) hence the ranges of f(x) and g(x) are similar and are different from the ranges of g(x).

Gemiola [76]2 years ago
4 0

Answer:

A and D

Step-by-step explanation:

A.) f(x) has a domain of all real numbers.

D.) g(x) has a domain of all real numbers.

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