Question:
Let f : R→R, g : R→R be two given functions. Such that f is injective and g is surjective, then which of the following is injective?
Let f : R→R, g : R→R be two given functions. Such that f is injective and g is surjective, then which of the following is injective?
Updated On: Oct 7, 2024
- g o f
- f o g
- g o g
- f o f
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The correct option is (D): f o f
Was this answer helpful?
0
0
Top Questions on Relations and functions
- If the domain of the function \( f(x) = \log_e \left( \frac{2x + 3}{4x^2 + x - 3} \right) + \cos^{-1} \left( \frac{2x - 1}{x + 2} \right) \) is \( (\alpha, \beta] \), then the value of \( 5\beta - 4\alpha \) is equal to
- JEE Main - 2024
- Mathematics
- Relations and functions
- Consider the relations $R_1$ and $R_2$ defined as \[a R_1 b \iff a^2 + b^2 = 1 \quad \text{for all } a, b \in \mathbb{R},\]and \[(a, b) R_2 (c, d) \iff a + d = b + c \quad \text{for all } (a, b), (c, d) \in \mathbb{N} \times \mathbb{N}.\]Then:
- JEE Main - 2024
- Mathematics
- Relations and functions
- Let the relations \( R_1 \) and \( R_2 \) on the set
\( X = \{ 1, 2, 3, \dots, 20 \} \) be given by
\( R_1 = \{ (x, y) : 2x - 3y = 2 \} \) and
\( R_2 = \{ (x, y) : -5x + 4y = 0 \} \).
If \( M \) and \( N \) be the minimum number of elements required to be added in \( R_1 \) and \( R_2 \), respectively, in order to make the relations symmetric, then \( M + N \) equals:- JEE Main - 2024
- Mathematics
- Relations and functions
- The interval in which the function \( f(x) = x^x, \, x>0 \), is strictly increasing is:
- JEE Main - 2024
- Mathematics
- Relations and functions
- The function \( f(x) = \frac{x^2 + 2x - 15}{x^2 - 4x + 9} \), \( x \in \mathbb{R} \) is:
- JEE Main - 2024
- Mathematics
- Relations and functions
View More Questions
Questions Asked in SRMJEEE exam
Calculate the Reynold’s number for a liquid of density 1 g/cm3, viscosity 8 x 10-4 Pa.s flowing at 0.5 m/s through a pipe of diameter 4 cm?
- SRMJEEE - 2023
- Fluid Mechanics
Which of the following statement is true for aqueous solution of 0.1 M urea, 0.2 M glucose nad 0.3 M sucrose
- SRMJEEE - 2023
- Biomolecules
The molar conductivities at infinite dilution for Na2SO4,K2S04,KCl, HCl and HCOONa at 300K are 260, 308, 150, 426, and 105 S cm2 mol-1, respectively. What will be A+m for formic acid in the same unit?
- SRMJEEE - 2023
- Electrochemistry
Electrophilic halogenation of phenol does not require catalyst because
- SRMJEEE - 2023
- Haloalkanes and Haloarenes
- Which one is the correct expression of electric potential on the axial point of a dipole whose dipole moment is р and length is 2l, at a distance of r?
- SRMJEEE - 2023
- Electrostatics
View More Questions