Relations and Functions - Online Test
Q1. If f (x) =, then domain of fof is
Answer : Option C
Explaination / Solution:
is defined only if
will be non negative.
Hence is defined only for 0.
Q2. If y = tan then
Answer : Option D
Explaination / Solution:
Let and it is defined if
Q3. The interval in which the values of f (x) lie where f (x) = 3 sin is
Answer : Option A
Explaination / Solution:
z=π216−x2−−−−−−√∴0≤z≤π4∴0≤sinz≤12√0≤3sinz≤32√
Q4. If f(x) = log, then is equal to
Answer : Option B
Explaination / Solution:
Q5. If then f (x) – f (- x) is equal to
Answer : Option A
Explaination / Solution:
f(x)=|x|x=xx=1f(−x)=|−x|−x=x−x=−1f(x)−f(−x)=1−(−1)=1+1=2
Q6. Which of the following functions is not one-one ?
Answer : Option B
Explaination / Solution:
No Explaination.
Q7.
If f (x) = then f (1) is equal to
Answer : Option D
Explaination / Solution:
No Explaination.
Q8. The domain of the real-valued function is
Answer : Option C
Explaination / Solution:
No Explaination.
Q9. A condition for a function y = f (x) to have an inverse is that it should be
Answer : Option B
Explaination / Solution:
No Explaination.
Q10. Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from A to B is
Answer : Option D
Explaination / Solution:
No Explaination.
