Maths-

General

Easy

Question

The domain of $f left parenthesis x right parenthesis equals fraction numerator l o g subscript 2 end subscript invisible function application left parenthesis x plus 3 right parenthesis over denominator x to the power of 2 end exponent plus 3 x plus 2 end fraction$ is

$R - {- 1,2}$
$(- 2, \infty)$
$R - {- 1, - 2, - 3}$
$(- 3, \infty) - {- 1, - 2}$

hint Hint:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

The correct answer is: $left parenthesis negative 3 comma infinity right parenthesis minus left curly bracket negative 1 comma negative 2 right curly bracket$

$f left parenthesis x right parenthesis equals fraction numerator l o g subscript 2 end subscript invisible function application left parenthesis x plus 3 right parenthesis over denominator x to the power of 2 end exponent plus 3 x plus 2 end fraction$
For f(x) to be defined :
1) (x + 3) > 0
$rightwards double arrow$ x > -3
2) $x to the power of 2 space end exponent plus space 3 x space plus space 2 space space not equal to space 0$
$B y space f a c t o r i z a t i o n space left parenthesis s p l i t t i n g space o f space m i d d l e space t e r m s right parenthesis rightwards double arrow left parenthesis x space plus 1 right parenthesis left parenthesis x plus 2 right parenthesis space space not equal to space 0 rightwards double arrow x space space not equal to space left parenthesis negative 1 comma negative 2 right parenthesis$
Thus, Domain of f(x) will be (-3, $infinity$ ) - (-1,-2)

The inverse of the function $y equals open square brackets 1 minus left parenthesis x minus 3 right parenthesis to the power of 4 end exponent close square brackets to the power of 1 divided by 7 end exponent$ is

We used rules of indices to solve the question. For such questions, we should be familiar with rules of indices.

The inverse of the function $y equals open square brackets 1 minus left parenthesis x minus 3 right parenthesis to the power of 4 end exponent close square brackets to the power of 1 divided by 7 end exponent$ is

Maths-General

We used rules of indices to solve the question. For such questions, we should be familiar with rules of indices.

General

Maths-

The domain of $f left parenthesis x right parenthesis equals square root of x to the power of 2 end exponent minus 4 vertical line x vertical line plus 3 end root$ is

Maths-General

General

physics

A Shell of mass M and radius R has a point mass placed at a distance r from its center. The gravitational potential energy u(r)-v will be,

physicsGeneral

General

physics

The correct graph representing the variation of total energy (E) kinetic energy and potential energy (U) of a satellite with its distance from the center of earth is.........

physicsGeneral

General

physics

The curves for P.E. (U) K.E. (EEK) of two particle system ae shown in figure, At what points. system will be bound.

physicsGeneral

General

chemistry-

Which of the following structures have same configuration around the chirality centre ?

chemistry-General

General

chemistry-

The two structures given below are :

chemistry-General

General

chemistry-

Which of the following represents same enantiomer as :

chemistry-General

General

chemistry-

Calculate the d- and $l$ -isomers formed by the following compound.
$H O O C minus C H open parentheses C H subscript 3 end subscript close parentheses minus C H O H minus C H B r minus C H O H minus C H open parentheses C H subscript 3 end subscript close parentheses minus C O O H minus$

chemistry-General

General

physics

Which of the following graphs represents the motion of a planet moving about the sun.

physicsGeneral

Have a query? Ask a Tutor!!

Can’t find what you’re looking for?

The domain of is

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

The correct answer is:

For f(x) to be defined :1) (x + 3) > 0x > -32) Thus, Domain of f(x) will be (-3, ) - (-1,-2)

Related Questions to study

The inverse of the function is

The inverse of the function is

The domain of is

The domain of is

A Shell of mass M and radius R has a point mass placed at a distance r from its center. The gravitational potential energy u(r)-v will be,

A Shell of mass M and radius R has a point mass placed at a distance r from its center. The gravitational potential energy u(r)-v will be,

The correct graph representing the variation of total energy (E) kinetic energy and potential energy (U) of a satellite with its distance from the center of earth is.........

The correct graph representing the variation of total energy (E) kinetic energy and potential energy (U) of a satellite with its distance from the center of earth is.........

The curves for P.E. (U) K.E. (EEK) of two particle system ae shown in figure, At what points. system will be bound.

The curves for P.E. (U) K.E. (EEK) of two particle system ae shown in figure, At what points. system will be bound.

The absolute configuration of the following compound is :

The absolute configuration of the following compound is :

The name of the compound is

The name of the compound is

Among the following structures which one is called Erythro isomer ?

Among the following structures which one is called Erythro isomer ?

How many stereo isomers are there in this compound ?

How many stereo isomers are there in this compound ?

The compound is known by which of the following names ?

The compound is known by which of the following names ?

Which of the following structures have same configuration around the chirality centre ?

Which of the following structures have same configuration around the chirality centre ?

The two structures given below are :

The two structures given below are :

Which of the following represents same enantiomer as :

Which of the following represents same enantiomer as :

Calculate the d- and -isomers formed by the following compound.

Calculate the d- and -isomers formed by the following compound.

Which of the following graphs represents the motion of a planet moving about the sun.

Which of the following graphs represents the motion of a planet moving about the sun.

With Turito Academy.

With Turito Foundation.

Get an Expert Advice From Turito.

Turito Academy

With Turito Academy.

Test Prep

With Turito Foundation.

Courses

Quick Links

The domain of $f left parenthesis x right parenthesis equals fraction numerator l o g subscript 2 end subscript invisible function application left parenthesis x plus 3 right parenthesis over denominator x to the power of 2 end exponent plus 3 x plus 2 end fraction$ is

The correct answer is: $left parenthesis negative 3 comma infinity right parenthesis minus left curly bracket negative 1 comma negative 2 right curly bracket$

The inverse of the function $y equals open square brackets 1 minus left parenthesis x minus 3 right parenthesis to the power of 4 end exponent close square brackets to the power of 1 divided by 7 end exponent$ is

The inverse of the function $y equals open square brackets 1 minus left parenthesis x minus 3 right parenthesis to the power of 4 end exponent close square brackets to the power of 1 divided by 7 end exponent$ is

The domain of $f left parenthesis x right parenthesis equals square root of x to the power of 2 end exponent minus 4 vertical line x vertical line plus 3 end root$ is

The domain of $f left parenthesis x right parenthesis equals square root of x to the power of 2 end exponent minus 4 vertical line x vertical line plus 3 end root$ is

Calculate the d- and $l$ -isomers formed by the following compound.
$H O O C minus C H open parentheses C H subscript 3 end subscript close parentheses minus C H O H minus C H B r minus C H O H minus C H open parentheses C H subscript 3 end subscript close parentheses minus C O O H minus$

Calculate the d- and $l$ -isomers formed by the following compound.
$H O O C minus C H open parentheses C H subscript 3 end subscript close parentheses minus C H O H minus C H B r minus C H O H minus C H open parentheses C H subscript 3 end subscript close parentheses minus C O O H minus$