wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The domain of f(x)=12x-1-1-x2 is


A

]0.5,1]

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

[-1,[

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

[1,[

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

]0.5,1]


Explanation for the correct answer:

Domain of the function:

f(x)=12x-1-1-x2

Let f(x)=p(x)-q(x)

First, we find the domain of p(x)=12x-1

This is defined when

2x-1>0x>0.5(1)

Now we find the domain of q(x)=1-x2

This is defined when

1-x20x21-1x1(2)

Intersection of (1)and (2) is the domain of f(x)

0.5,-1,1=]0.5,1]

Hence, option (A) is the correct option


flag
Suggest Corrections
thumbs-up
3
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Properties of Inequalities
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon