# The domain for wh

Given: f (x) = 3x2 – 1 and g (x) = 3 + x

To find: the domain of the given functions equal

Explanation: So the domain of a function consists of all the first elements of all the ordered pairs, i.e., x, so we have to find the values of x to get the required domain

The two given functions are equal, so

f (x) = g (x)

Substituting the values, we get

3x2 – 1 = 3 + x

3x2 – 1 - 3 – x = 0

3x2– x-4 = 0

We will find the solution by splitting the middle term, i.e.,

3x2 + 3x-4x-4 = 0

3x(x + 1)-4(x + 1) = 0

(3x-4)(x + 1) = 0

3x-4 = 0 or x + 1 = 0

3x = 4 or x = -1

Hence for , f (x) = g (x), i.e., given functions are equal.

Hence the domain is =

Hence the correct answer is option (B)

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

<span lang="EN-USRS Aggarwal - Mathematics

Find the doRS Aggarwal - Mathematics

Find the domain oMathematics - Exemplar

The domain of theMathematics - Exemplar

Fill in theMathematics - Exemplar

Domain of <span lMathematics - Exemplar

Fill in theMathematics - Exemplar

The domain for whMathematics - Exemplar

<span lang="EN-USRS Aggarwal - Mathematics

Find the doRS Aggarwal - Mathematics