CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Geometric Interpretation of Def.Int as Limit of Sum

Find the doma...

Question

Find the domain of definition of the following function:
$y = \sqrt{4 x - x^{2}} - {log}_{3} (x - 2)$

Open in App

Solution

For
$\sqrt{4 x - x^{2}} 4 x - x^{2} \geq 0 x^{2} - 4 x \leq 0 x (x - 4) \leq 0 x \in [0, 4]$

For
${log}_{3} (x - 2) x - 2 > 0 x > 2$

Taking intersection,
$x \in (2, 4]$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Find the domain of definition of the following function:

y = \sqrt{- x^{2} + 2 x + 3} + {log}_{3} (x - 1)

Q. Find the domain of definition of the following function:

y = \sqrt{x^{2} + 4 x - 5} . log (x + 5)

Q. Find the domain of definition of the following function.

y = \sqrt{x - x^{2}}

Q. Find the domain of definition of the following function.

y = \frac{\sqrt{x + 12 - x^{2}}}{x^{2} - 4}

Q. Find the domains of definition of the following function:

y = \frac{1}{3 - {log}_{3} (x - 3)} .

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Definite Integral as Limit of Sum

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Geometric Interpretation of Def.Int as Limit of Sum

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon