Answer: B.The range of both f(x) and g(x) is all nonzero real numbers
Step-by-step explanation:For sure enjoy!
The range of function f(x) and g(x) will be all the real numbers.
The range of a function is the set of its possible output values.
The domain of a function is the set of values that we are allowed to plug into our function.
According to the given function.
We have a two function
[tex]g(x) = \frac{6}{x}[/tex]
and[tex]f(x) = \frac{1}{x}[/tex]
Since, the domain of g(x) is all the real numbers except 0 because at 0 the function g(x) is not defined.
Similarly, for f(x) all the real numbers are the domain of f(x) except 0.
So, if we input real numbers except 0 in both the functions f(x) and g(x) we get only real numbers as a output.
Hence, the range of function f(x) and g(x) will be all the real numbers.
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