Question:
If $A= (3,81)$ and $f : A \rightarrow B$ is a surjection defined by $f[x] = \log_3 x$ then $B = $
If $A= (3,81)$ and $f : A \rightarrow B$ is a surjection defined by $f[x] = \log_3 x$ then $B = $
Updated On: Jul 6, 2022
- [1,4]
- (1,4]
- (1,4)
- $[ 1, \infty)$
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
$3 < x < 81 \Rightarrow \: \log_3 3 < \log_3 x < \log_3 81$
Was this answer helpful?
0
0
Top Questions on Relations and functions
- If \( f: \mathbb{R} \to \mathbb{R} \) and \( g: \mathbb{R} \to \mathbb{R} \) be functions defined by \( f(x) = \cos x \) and \( g(x) = 3x^2 \) respectively, then prove that \( gof \neq fog \).
- UP Board XII - 2025
- Mathematics
- Relations and functions
- If \( A = \{1, 2\} \) and \( B = \{3, 4, 5\} \), then find all number of relations from A to B.
- UP Board XII - 2025
- Mathematics
- Relations and functions
- The modulus function f: R \( → \) R\(^+\) given by f(x) = |x| is
- UP Board XII - 2025
- Mathematics
- Relations and functions
- If the function f: N \(\rightarrow\) N, is defined by f(x) = x - 1 for all x > 2 and f(1) = f(2) = 1, then f is
- UP Board XII - 2025
- Mathematics
- Relations and functions
- If \( R_1 \) and \( R_2 \) be two equivalence relations on a set A, then prove that \( R_1 \cap R_2 \) be also an equivalence relation.
- UP Board XII - 2025
- Mathematics
- Relations and functions
View More Questions