Question:medium
The domain of the function $f(x) = \dfrac{\log_2 (x - 5)}{x^2 + 3x - 4}$ is:
The domain of the function $f(x) = \dfrac{\log_2 (x - 5)}{x^2 + 3x - 4}$ is:
Show Hint
Always check log condition first, then denominator restriction.
Updated On: Apr 24, 2026
- $(1,\infty)$
- $(10,\infty)$
- $(5,\infty)$
- $\mathbb{R} \setminus \{-4\}$
- $\mathbb{R} \setminus \{-4,1\}$
Show Solution
The Correct Option is C
Solution and Explanation
Was this answer helpful?
0
Top Questions on types of functions
- Let [x] be the greatest integer ≤ x. Then the number of points in the interval (-2,1), where the function f(x) = |[x] |+\(\sqrt{x -[x] }\)is discontinuous is _____.
- JEE Main - 2023
- Mathematics
- types of functions
- Let [x] be the greatest integer ≤ x. Then the number of points in the interval (-2,1), where the function f(x)=|[x]|+√x−[x] is discontinuous is _____.
- JEE Main - 2023
- Mathematics
- types of functions
- Let a∈ Z and [t] be the greatest integer t. Then the number of points, where the function f(x)=[a+13 sin x], x ∈ (0, π) is not differentiable, is ____
- JEE Main - 2023
- Mathematics
- types of functions
- If the local maximum value of the function f( x )=\((\frac{√3e}{2 sin x} )^{ sin^2x}\) ,\( x ∈ ( 0,\frac{π}{2} )\), is \(\frac{k}{e}\), then \((\frac{k}{e})^8+\frac{k^8}{e^5}+k^8 \) is equal to
- JEE Main - 2023
- Mathematics
- types of functions
- Want to practice more? Try solving extra ecology questions todayView All Questions
