Maths-
General
Easy

Question

Let f(x)equals fraction numerator X over denominator 1 plus x end fraction defined from left parenthesis 0 comma infinity right parenthesis rightwards arrow left square bracket 0 comma infinity right parenthesis, then by f(x) is -

  1. one-one but not onto    
  2. one-one and onto    
  3. Many one but not onto    
  4. Many one and onto    

The correct answer is: one-one but not onto

Related Questions to study

General
Maths-

If f : R rightwards arrow R is a function defined by f(x) = [x] c o s invisible function application pi open parentheses fraction numerator 2 x minus 1 over denominator 2 end fraction close parentheses, where [x] denotes the greatest integer function, then f is :

The correct answer is choice 2

If f : R rightwards arrow R is a function defined by f(x) = [x] c o s invisible function application pi open parentheses fraction numerator 2 x minus 1 over denominator 2 end fraction close parentheses, where [x] denotes the greatest integer function, then f is :

Maths-General

The correct answer is choice 2

General
Maths-

Let ƒ : (–1, 1) rightwards arrow B, be a function defined by ƒ(x) equals t a n to the power of negative 1 end exponent invisible function application fraction numerator 2 x over denominator 1 minus x to the power of 2 end exponent end fraction comma then ƒ is both one-one and onto when B is the interval-

Hence, the range of the given function is open parentheses negative straight pi over 2 comma straight pi over 2 close parentheses.

Let ƒ : (–1, 1) rightwards arrow B, be a function defined by ƒ(x) equals t a n to the power of negative 1 end exponent invisible function application fraction numerator 2 x over denominator 1 minus x to the power of 2 end exponent end fraction comma then ƒ is both one-one and onto when B is the interval-

Maths-General

Hence, the range of the given function is open parentheses negative straight pi over 2 comma straight pi over 2 close parentheses.

General
Maths-

The range of the function f left parenthesis x right parenthesis equals fraction numerator 2 plus x over denominator 2 minus x end fraction comma x not equal to 2 text end textis-

Hence, range of the given function will be R{1}

The range of the function f left parenthesis x right parenthesis equals fraction numerator 2 plus x over denominator 2 minus x end fraction comma x not equal to 2 text end textis-

Maths-General

Hence, range of the given function will be R{1}

parallel
General
Maths-

A function whose graph is symmetrical about the origin is given by -

Hence, the function f(x+y)=f(x)+f(y) is symmetric about the origin.

A function whose graph is symmetrical about the origin is given by -

Maths-General

Hence, the function f(x+y)=f(x)+f(y) is symmetric about the origin.

General
Maths-

The minimum value of f left parenthesis x right parenthesis equals vertical line 3 minus x vertical line plus vertical line 2 plus x vertical line plus vertical line 5 minus x vertical line is

The minimum value of f left parenthesis x right parenthesis equals vertical line 3 minus x vertical line plus vertical line 2 plus x vertical line plus vertical line 5 minus x vertical line is

Maths-General
General
Maths-

f colon left square bracket negative 1 , 1 right square bracket rightwards arrow left square bracket negative 1 , 2 right square bracket comma f left parenthesis x right parenthesis equals x plus vertical line x vertical line comma is -

Hence, the given function is many one and onto.

f colon left square bracket negative 1 , 1 right square bracket rightwards arrow left square bracket negative 1 , 2 right square bracket comma f left parenthesis x right parenthesis equals x plus vertical line x vertical line comma is -

Maths-General

Hence, the given function is many one and onto.

parallel
General
Maths-

If f(x) is a polynomial function satisfying the condition f(x). f(1/x) = f(x) + f(1/x) and f(2) = 9 then -

If f(x) is a polynomial function satisfying the condition f(x). f(1/x) = f(x) + f(1/x) and f(2) = 9 then -

Maths-General
General
General

Fill in the blank with the appropriate transition.
The movie managed to fetch decent collections ______ all the negative reviews it received.
 

Fill in the blank with the appropriate transition.
The movie managed to fetch decent collections ______ all the negative reviews it received.
 

GeneralGeneral
General
Maths-

If R be a relation '<' from A = {1, 2, 3, 4} to B = {1, 3, 5} i.e. (a, b) element of R iff a < b, then R O R to the power of negative 1 end exponent text end textis text-end text

Values of R O R to the power of negative 1 end exponent text end text are {(3, 3), (3, 5), (5, 3), (5, 5)}

If R be a relation '<' from A = {1, 2, 3, 4} to B = {1, 3, 5} i.e. (a, b) element of R iff a < b, then R O R to the power of negative 1 end exponent text end textis text-end text

Maths-General

Values of R O R to the power of negative 1 end exponent text end text are {(3, 3), (3, 5), (5, 3), (5, 5)}

parallel
General
Maths-

Which one of the following relations on R is equivalence relation

Which one of the following relations on R is equivalence relation

Maths-General
General
Maths-

Let R = {(x, y) : x, y element of A, x + y = 5} where A = {1, 2, 3, 4, 5} then

Hence, the given relation is not reflexive, symmetric and not transitive

Let R = {(x, y) : x, y element of A, x + y = 5} where A = {1, 2, 3, 4, 5} then

Maths-General

Hence, the given relation is not reflexive, symmetric and not transitive

General
Maths-

Let R subscript 1 end subscript text  ,  end textbe a relation defined by R subscript 1 end subscript equals left curly bracket left parenthesis a comma b right parenthesis ∣ a greater or equal than b semicolon a comma b element of R right curly bracket text  .  end textThen R is

Hence, the given relation is Reflexive, transitive but not symmetric.

Let R subscript 1 end subscript text  ,  end textbe a relation defined by R subscript 1 end subscript equals left curly bracket left parenthesis a comma b right parenthesis ∣ a greater or equal than b semicolon a comma b element of R right curly bracket text  .  end textThen R is

Maths-General

Hence, the given relation is Reflexive, transitive but not symmetric.

parallel
General
Maths-

The relation R defined in N as aRb left right double arrow b is divisible by a is

Hence, the given relations is reflexive but not symmetric.

The relation R defined in N as aRb left right double arrow b is divisible by a is

Maths-General

Hence, the given relations is reflexive but not symmetric.

General
physics-

Electric power =

Electric power =

physics-General
General
physics-

n equal resistors are first connected in series and then in parallel. The ratio of the equivalent resistance in the two cases is

n equal resistors are first connected in series and then in parallel. The ratio of the equivalent resistance in the two cases is

physics-General
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.