Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
- Prove that the function f: R rarr R given by f(x)=2 x is one-one and o...
Text Solution
|
- Show that the function f: N rarr N, given by f(1)=f(2)=1 and f(x)=x-1,...
Text Solution
|
- Check the injective and surjective of the following functions : f : R ...
Text Solution
|
- Show that f : N rarr N given by f(x) = { ((x +1), if x is odd), ((x ...
Text Solution
|
- Check the injectivity and surjectivity of the following functions f:...
Text Solution
|
- Prove that the greatest integer function f : R rarrR given by f(x) =[x...
Text Solution
|
- Show that the modulus function f: R rarr R given by f(x) = |x|, is nei...
Text Solution
|
- Show that the signum function f : R rarr R given by f(x)= {(1,if x gt ...
Text Solution
|
- Let A = {1, 2, 3}, B { 4, 5, 6} and let f = {(1,4),(2,5)(3,6)} be a fu...
Text Solution
|
- In each of the following cases, states whether the function is one-one...
Text Solution
|
- Let A and B be sets. Show that f: AxxB to BxxA such that f(a,b) = ...
Text Solution
|
- Let f: N to N be defined by f(n) = { (((n+1)/2)if n is odd), (n/2 if...
Text Solution
|
- Let A=R-{3} and B=R-{1} Consider the function f:ArarrB defined by f(x)...
Text Solution
|
- Let f:R rarrR be defined as f(x) = x^4 Choose the correct answer
Text Solution
|
- Let f:R rarrR be defined as f(x) = 3x Choose the correct answer
Text Solution
|
- Let f:{2,3,4,5} rarr {3,4,5,9} and g:{3,4,5,9} rarr{7,11 , 15} be func...
Text Solution
|
- Find g o f and f o g, if f: R rarr R and g: R rarr R are given by f (x...
Text Solution
|
- Show that if f: A rarr B and g: B rarr C are one-one, then gof : A rar...
Text Solution
|
- Show that if f: A rarr B and g: B rarr C are onto, then gof : A rarr C...
Text Solution
|
- Are 'f' and 'g' both necessarily onto, if gof, is onto?
Text Solution
|