Question

Consider the following. f(x) = In(x) + 6 (a) What is the domain of ? (Enter your answer using interval notation.) What is the range of f? (Enter your answer using interval notation.) (b) What is the x-intercept of the graph of ?? X =

Answer 1

The domain of the function is x > 0, the range is all real numbers, and the x-intercept is x = e^(-6).

Step-by-step explanation:

The domain of the function f(x) = ln(x) + 6 is x > 0, since the natural logarithm function is only defined for positive values of x. The range of the function f(x) is all real numbers, since the natural logarithm function can take on any real value. The x-intercept of the graph is the value of x where f(x) = 0, which can be found by solving ln(x) + 6 = 0, resulting in x = e^(-6), where e is Euler's number.

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