Question

Consider the graph of the function f(x) = ln x.
What is the domain of function g if g(x) = f(x) — 12?
A. {x| -∞ < x < ∞}
B. {x| 0 < x < ∞}
C. {x| 12 < x < ∞}
D. {x| -12 < x < ∞}

Answer 1

The domain of g(x) is the same as the one of f(x), so the correct option is B: {x| 0 < x < ∞}

What is the domain of function g(x)?

Here we have:

f(x) = ln(x).

And we also have the transformation:

g(x) = f(x) - 12 = ln(x) - 12

So this is only a translation of 12 units downwards, this does not change the domain of the original function.

And remember that the domain of the parent logarithmic function is the set of all real numbers larger than zero, so the domain of g(x) will also be that.

Then the correct option is B:

{x| 0 < x < ∞}

If you want to learn more about domains:

https://brainly.com/question/1770447

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