Home
Class 12
MATHS
If f: [-3,4] to R,f(x)=2x, " and " g :[-...

If `f: [-3,4] to R,f(x)=2x, " and " g :[-2, 6] to R,g(x) =x^(2)`. Then find function `(f+g)(x).`

Text Solution

AI Generated Solution

To find the function \( (f + g)(x) \), we will follow these steps: ### Step 1: Identify the functions and their domains We are given two functions: - \( f: [-3, 4] \to \mathbb{R} \) defined as \( f(x) = 2x \) - \( g: [-2, 6] \to \mathbb{R} \) defined as \( g(x) = x^2 \) ### Step 2: Determine the common domain of \( f \) and \( g \) ...
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise Solved Examples|15 Videos
  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise CONCEPT APPLICATION EXERCISE 1.1|15 Videos
  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE ENGLISH|Exercise Archives (Numerical Value Type)|3 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE ENGLISH|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

If f : R to R , f(x)=x^(2) and g(x)=2x+1 , then

If f : R to R , f (x) =x ^(3) and g: R to R , g (x) = 2x ^(2) +1, and R is the set of real numbers then find fog(x) and gof (x).

Let : R->R ; f(x)=sinx and g: R->R ; g(x)=x^2 find fog and gof .

If f:R to R be defined by f(x)=3x^(2)-5 and g: R to R by g(x)= (x)/(x^(2)+1). Then, gof is

If f : R rarr R, f(x) = x^(2) + 2x - 3 and g : R rarr R, g(x) = 3x - 4 then the value of fog (x) is

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

If the functions f and g defined from the set of real number R to R such that f(x) = e^(x) and g(x) = 3x - 2, then find functions fog and gof.

If f, g : R to R such that f(x) = 3 x^(2) - 2, g (x) = sin (2x) the g of =

Let R be the set of real numbers. If f: R->R :f(x)=x^2 and g: R->R ;g(x)=2x+1. Then, find fog and gof . Also, show that fog!=gofdot

If the function f: R->R be given by f(x)=x^2+2 and g: R->R be given by g(x)=x/(x-1) . Find fog and gof .