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

AI Generated Solution

To solve the problem, we will find the following expressions based on the given functions \( f(x) = \sqrt{x} \) and \( g(x) = x \): 1. \( (f + g)(x) \) 2. \( (f - g)(x) \) 3. \( (f \cdot g)(x) \) 4. \( \left(\frac{f}{g}\right)(x) \) ### Step 1: Calculate \( (f + g)(x) \) ...
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT EXEMPLAR ENGLISH|Exercise OBJECTIVE TYPE QUESTIONS|12 Videos
  • RELATIONS AND FUNCTIONS

    NCERT EXEMPLAR ENGLISH|Exercise FILLERS|2 Videos
  • RELATIONS AND FUNCTIONS

    NCERT EXEMPLAR ENGLISH|Exercise True /False|5 Videos
  • PROBABILITY

    NCERT EXEMPLAR ENGLISH|Exercise Matching The Columns|2 Videos
  • SEQUENCE AND SERIES

    NCERT EXEMPLAR ENGLISH|Exercise Match the comumms|2 Videos

Similar Questions

Explore conceptually related problems

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) , (f-g) (x) and (f/g)(x) .

let f(x) = sqrtx 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) .

If f(x)=sqrt(x+3) and g(x)=x^2+1 be two real functions, then find fog and gof .

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) =x and g(x)=|x| be two real-valued functions, check whether the functions are one -one.

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)=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^(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)