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.
2 answers:
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).
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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