TS EAMCET · Maths · Functions
The domain of the real valued function is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(A)
Step-by-step Solution
Detailed explanation
Given: fx=6x2+5x-64-x-x+4 For fx to be defined 1 6x2+5x-6≥0 ⇒3x-22x+3≥0 ⇒x∈(-∞,-32]∪[23,∞) ....i 2 4-x-x+4≠0 ⇒4-x≠x+4 ⇒4-x≠x+4 ⇒x≠0 .....ii…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(x^2+y^2-a^2+\lambda(x \cos \alpha+y \sin \alpha-p)=0\) is the smallest circle through the points of intersection of \(x^2+y^2=a^2\) and \(x \cos \alpha+y \sin \alpha=p, 0 < p < a\), then \(\lambda=\)TS EAMCET 2020 Medium
- The number of roots of the equation \(\sqrt{2}+e^{\cosh ^1 x}-e^{\sinh { }^1 x}=0\), isTS EAMCET 2019 Medium
- If \(\mathrm{A}(1,2), \mathrm{B}(2,1)\) are two vertices of an acute angled triangle and \(S(0,0)\) is its circumcentre, then the angle subtended by AB at the third vertex isTS EAMCET 2024 Easy
- If the line passing through the point \((4,-3)\) and having negative slope makes an angle of \(45^{\circ}\) with the line joining the points \((1,1),(2,3)\) then the sum of intercepts of that line isTS EAMCET 2025 Medium
- The solution of the differential equation \(\frac{d y}{d x}=\frac{x-2 y+1}{2 x-4 y}\) isTS EAMCET 2008 Hard
- If the slopes of the lines represented by the equation \(6 x^2+2 h x y+4 y^2=0\) are in the ratio \(2: 3\), then the value of h such that both the lines make acute angles with the positive X -axis measured in positive direction isTS EAMCET 2025 Medium
More PYQs from TS EAMCET
- Hydrolysis of sucrose with dilute aqueous sulphuric acid yieldsTS EAMCET 2008 Easy
- Aluminium reacts with \(\mathrm{NaOH}\) and forms compound ' \(X\) '. If the coordination number of aluminium in ' \(X\) ' is 6 , the correct formula of \(X\) isTS EAMCET 2009 Easy
- In \(\triangle A B C,(a+b+c)\left(\tan \frac{A}{2}+\tan \frac{B}{2}\right)\) is equal toTS EAMCET 2007 Medium
-
An alphabet ' \(T\) ' made of two similar thin uniform metal plates of each length ' \(L\) ' and width ' \(a\) ' is placed on a horizontal surface as shown in the figure. If the alphabet is vertically inverted, the shift in the position of its centre of mass from the horizontal surface isTS EAMCET 2024 Hard - The sum of two roots of the equation \(x^4-x^3-16 x^2+4 x+48=0\) is zero. If \(\alpha, \beta, \gamma, \delta\) are the roots of this equation, then \(\alpha^4+\beta^4+\gamma^4+\delta^4=\)TS EAMCET 2024 Easy
- If the mid points of the sides and of a triangle are respectively and then the centroid of the triangle isTS EAMCET 2021 Medium