Home
Class 12
MATHS
Let R be the set of real numbers and the...

Let `R` be the set of real numbers and the functions `f : R->R and g : R->R` be defined by `f(x)=x^2+2x-3 and g(x)=x+1.` Then the value of `x` for which `f(g(x)) = g(f(x))` is

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 17|15 Videos

  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 18|15 Videos

  • CHAPTERWISE NUMERIC INTEGER ANSWER QUESTIONS

    DISHA PUBLICATION|Exercise CHAPTER 15|15 Videos

  • BINOMIAL THEOREM

    DISHA PUBLICATION|Exercise EXERCISE-2 (CONCEPT APPLICATOR)|30 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

Let R be the set of real numbers and the functions f:R rarr R and g:R rarr R be defined by f(x)=x^(2)+2x-3 and g(x)=x+1 Then the value of x for which f(g(x))=g(f(x)) is

Let R be the set of real number and the mapping f :R to R and g : R to R be defined by f (x)=5-x^(2)and g (x)=3x-4, then the value of (fog) (-1) is

Let f: R->R and g: R->R be defined by f(x)=x^2 and g(x)=x+1 . Show that fog!=gofdot

If f:R rarr R and g:R rarr R defined by f(x)=2x+3 and g(x)=x^(2)+7 then the values of x for which f(g(x))=25 are

If f: R to R and g: R to R are defined by f(x)=2x+3 and g(x)=x^(2)+7 , then the values of x such that g(f(x))=8 are

If f:R to R and g:R to R are defined by f(x)=(2x+3) and g(x)=x^(2)+7 , then the values of x such that g(f(x))=8 are

If f: R->R and g: R->R be functions defined by f(x)=x^2+1 and g(x)=sinx , then find fog and gof .

If the functions f: R to R and g: R to R be defined by f (x) = 2x+1, g(x) = x^2 - 2. Find the formulae for g o f and f o g.

If the function f:R rarr R be defined by f(x)=2x-3 and g:R rarr R by g(x)=x^(3)+5 then find the value of (fog)^(-1)(x)