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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 true 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.

Answer :

The statements that are true about the domain and range of the functions f(x), g(x), and h(x) include:

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

What is a function?

It should be noted that a function simply means a relation between a set of inputs to a set of possible outputs.

In this case, f(x) has a domain of all real numbers as well as g(x) which also has a domain of all real numbers.

In conclusion, the correct options are A and D.

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