Questions
The value of the function lies in the interval
detailed solution
Correct option is B
f (x) is defined if x2 + x – 6 ≠ 0i.e., (x + 3) (x – 2) ≠ 0 i.e. x ≠ – 3, 2∴ Domain (f)=(−∞,∞)\{−3,2}Let y=x2−3x+2x2+x−6 ⇒x2y+xy−6y=x2−3x+2⇒x2(y−1)+x(y+3)−(6y+2)=0For x to be real, (y + 3)2 + 4 (y – 1) (6y + 2) ≥ 0⇒ 25y2 – 10y + 1 ≥ 0 i.e. (5y – 1)2 ≥ 0which is true for all real y.∴ Range of f = (–∞, ∞).Talk to our academic expert!
Similar Questions
Find the range of f(x)
799 666 8865
support@infinitylearn.com
6th Floor, NCC Building, Durgamma Cheruvu Road, Vittal Rao Nagar, HITEC City, Hyderabad, Telangana 500081.
JEE Mock Tests
JEE study guide
JEE Revision Notes
JEE Important Questions
JEE Sample Papers
JEE Previous Year's Papers
NEET previous year’s papers
NEET important questions
NEET sample papers
NEET revision notes
NEET study guide
NEET mock tests