Question:
The domain of definition of \(f(x)=\frac{\log_2(x+3)}{x^2+3x+2}\) is
The domain of definition of \(f(x)=\frac{\log_2(x+3)}{x^2+3x+2}\) is
Updated On: Oct 4, 2024
- R-[01,-2]
- (-2, ∞)
- R-{-1,-2,-3}
- (-3, ∞)-(-1,-2)
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The correct option is (D): (-3, ∞)-(-1,-2)
Was this answer helpful?
0
0
Top Questions on Exponential and Logarithmic Functions
- Solve for \( x \): \( \log_2 (x-1) = 3 \).
- MHT CET - 2025
- Mathematics
- Exponential and Logarithmic Functions
- If $f : \mathbb{R}^+ \to \mathbb{R}$ is defined as $f(x) = \log_a x$ where $a>0$ and $a \neq 1$, prove that $f$ is a bijection. (R$^+$ is the set of all positive real numbers.)
- CBSE CLASS XII - 2025
- Mathematics
- Exponential and Logarithmic Functions
- If \( \log_2 3 = p \), express \( \log_8 9 \) in terms of \( p \):
- AP EAPCET - 2025
- Mathematics
- Exponential and Logarithmic Functions
- \( \int \sin^{-1}\left(\frac{x}{\sqrt{a+x}}\right) \, dx = \)
- AP EAPCET - 2025
- Mathematics
- Exponential and Logarithmic Functions
- Evaluate \[ \int \frac{1}{1 + x^2} \, dx = ? \]
- AP EAPCET - 2025
- Mathematics
- Exponential and Logarithmic Functions
View More Questions
Questions Asked in SRMJEEE exam
- A current of 2 A passes through a coil of 100 turns, producing a magnetic flux of 5 × 10⁻⁵ Wb per turn. What is the magnetic energy associated with the coil?
- SRMJEEE - 2025
- Magnetic Field
- A box contains 5 red balls and 7 blue balls. Two balls are drawn at random without replacement. What is the probability that both balls are red?
- SRMJEEE - 2025
- Probability
- Calculate the Reynolds number for a liquid with density 1 g/cm³ and viscosity 8 × 10⁻⁴ Pa·s, flowing at 0.5 m/s through a pipe of diameter 4 cm.
- SRMJEEE - 2025
- Viscosity
- Markovnikov's rule is applicable to which of the following reactions?
- SRMJEEE - 2025
- Chemical Reactions
- The molar conductivities at infinite dilution for Na₂SO₄, K₂SO₄, KCl, HCl, and HCOONa at 300 K are 260, 308, 150, 426, and 105 S·cm²·mol⁻¹, respectively. What will be the molar conductivity at infinite dilution (Λ⁰) for formic acid in the same unit?
- SRMJEEE - 2025
- Mole concept and Molar Masses
View More Questions