Home
Class 11
MATHS
Let f(x)=sqrt(x)and g(x) = xbe two func...

Let `f(x)=sqrt(x)`and `g(x) = x`be two functions defined over the set of nonnegative real numbers. Find `(f + g) (x)`, `(f g) (x)`, `(fg) (x)`and `(f/g)(x)`.

Text Solution

Verified by Experts

We have `f(x )=sqrt(x) and g(x) =x` be two function defined in the domain `R^(+)uu{0}`
(i) `(f+g)(x)=f(x)+g(x)=sqrt(x)+x " "` (ii) `(f-g)(x)=f(x)-g(x)=sqrt(x)-x`
(iii) `(fg)(x)=f(x)*g(x)=sqrt(x)*x=x^(2/3) " "` (iv) `((f)/(g))(x)=(f(x))/(g(x))=(sqrt(x))/(x)=(1)/(sqrt(x))`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|12 Videos

  • RELATIONS AND FUNCTIONS

    NCERT EXEMPLAR|Exercise FILLERS|2 Videos

  • RELATIONS AND FUNCTIONS

    NCERT EXEMPLAR|Exercise True /False|5 Videos

  • PROBABILITY

    NCERT EXEMPLAR|Exercise Matching The Columns|2 Videos

  • SEQUENCE AND SERIES

    NCERT EXEMPLAR|Exercise Match the comumms|2 Videos

Similar Questions

Explore conceptually related problems

let f(x)=sqrt(x) and g(x)=x be function defined over the set of non negative real numbers. find (f+g)(x),(f-g)(x),(fg)(x) and (f/g)(x)

Let f(x) = x^(2) and g(x) = 2x + 1 be two real functions. Find : (f + g) (x), (f - g) (x), (fg) (x) and ((f)/(g)) (x) .

Let f(x) = x^2 and g(x) = 2x + 1 be two real functions. Find (f + g) (x), (f –g) (x), (fg) (x), (f/g ) (x)

Let f(x) = 3x + 8 and g(x) = x^(2) be two real functions. Find (f+g) (x)

Let f(x) = x^(3) + 5 and g(x) = 5x + 3 be two real functions. Find (f+g)(x)

Let f(x) = x^(2) + 6x + 2 and g(x) = 9x +5 be two functions. Find (f+g)(x).

Let f(x) = 3x^(2) + 6x + 5 and g(x) = x + 1 be two real functions. Find (f+g)(x), (f-g)(x), (fg)(x) and ((f)/(g))(x)

Let f(x) = x^(2) + 2x +5 and g(x) = x^(3) - 1 be two real functions. Find (f+g)(x), (f-g)(x), (fg)(x) and ((f)/(g))(x) .

Let f(x)=x^(2) and g(x)=2x+1 be two real functions.Find (f+g)(x)(f-g)(x),(fg)(x),((f)/(g))(x)