Both functions g(x) and f(x) are positive in the interval of (1, ∞). Then the correct option is C.
What is the domain and range of a function?
The domain is the set of values for which the given function is defined.
The range is the set of all values which the given function can output.
When comparing the f(x) = x² – x and g(x) = log(2x + 1).
For f(x), we have
f(x) = x² – x
f(x) = x² – x + 1/4 - 1/4
f(x) = (x - 1/2)² - 1/4
The domain and the range of the function f(x) will be (-∞, ∞) and (-5, ∞).
For g(x), we have
g(x) = log(2x + 1)
The domain and the range of the function g(x) will be (-1/2, ∞) and (-∞, ∞).
Both functions g(x) and f(x) are positive in the interval of (1, ∞). Then the correct option is C.
More about the domain and range link is given below.
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