Question

Find the domain of the given function.

• A. $0<x<\infty$
• B. $\infty <x<2$
• C. $2<x<5$
• D. $2<x<\infty$

Answer 1

The correct option is D $2<x<\infty$

Let us look at the given graph:


Domain is the set of all input values of the function.

From the graph it is clear that input starts at 2. So, lower limit of the domain is 2.

Now, ending point will be the upper limit of the domain which is going endlessly without any bound.

So, the upper limit will be infinity which is more than any real number.

$\text{∴ The domain of the function is}[2,\infty ]$