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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

A

`-1`

B

0

C

1

D

2

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The correct Answer is:
A
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MTG-WBJEE-SETS , RELATIONS AND FUNCTIONS-WB JEE PREVIOUS YEARS QUESTIONS (SINGLE OPTION CORRECT TYPE)
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  6. For any two real numbers a and b, we define a R b if and only if sin^2...

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  7. The minimum value of the function f(x) = 2|x - 1| + |x - 2| is

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  9. Let R be the set of all real numbers and f : Rrarr R be given by f(x) ...

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  14. If f:[0,pi/2)->R is defined as f(theta)=|(1,tantheta,1),(-tantheta,1,...

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  16. Let S={a,b,c}epsilonNxxNxxN:a+b+c=21,a<=b<=c} and T={(a,b,c)epsilon Nx...

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  17. Let R be a relation defined on the set Z of all integers and x Ry whe...

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  18. if A={5^(n)-4n-1: n in N} and B={16(n-1):n in N} then

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  19. If the function R to R is defined by f(x)=(x^2+1)^(35)AA in R then f ...

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