In the interval (-2, 0) the function f(x) and g(x) will be negative, the correct choice would be (2, 0)
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have functions:
f(x) = x² + 2x
g(x) = log(2x + 1)
The domain of the function f(x) will be all real values of x
The domain of the function g(x) will be x ∈ (-0.5, ∞)
After plotting the graph of functions f(x) and g(x) we see:
f(x) will be negative in the interval of (-2, 0)
g(x) will be negative in the interval of (-0.5, 0)
Thus, in the interval (-2, 0) the function f(x) and g(x) will be negative the correct choice would be (2, 0)
Learn more about the function here:
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