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The composite mapping fog of the maps f:...

The composite mapping fog of the maps `f:R to R , f(x)=sin x and g:R to R, g(x)=x^(2)`, is

A

`(sin x)^(2)`

B

`sin x ^(2)`

C

`x ^(2)`

D

`x ^(2) (sin x)`

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The correct Answer is:
B
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TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
  1. If f :R to R is defined by f (x) =(x )/(x ^(2) +1), find f (f(2))

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  2. If x ne 1 and f (x) =(x+1)/(x-1) is a real function, then f (f(f(2))) ...

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  3. The composite mapping fog of the maps f:R to R , f(x)=sin x and g:R to...

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  4. If f (x) =sin x+cos x, x in (-oo, oo) and g (x) = x^(2), x in (-oo,oo)...

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  5. If f(x)=(1-x)/(1+x), then f[ f(cos2 theta)]=

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  6. If f(x)=(25-x^(4))^(1//4) for 0 lt x lt sqrt5 then f(f((1)/(2)))=

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  7. If f(x) = (x-1)/(x+1), then f(2) is equal to

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  8. Let f(x)=(alpha x)/(x+1), x ne -1. Then, for what value of alpha " is ...

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  9. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to

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  10. If f (x) = 8x ^(3), g (x) =x ^(1/3), then fog (x) is

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  11. If f(x) =2x +1 and g (x) (x-1)/(2) for all real x, then (fog) ^(-1)( (...

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  12. If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4=1, then (gof)(x...

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  13. Let g(x)=1+x-[x] and f(x)={{:(-1",", x lt 0),(0",",x=0),(1",", x gt 0)...

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  14. Two functions f:Rrarr R, g:R rarr R are defined as follows : f(x)={{...

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  15. If f:R->R and g:R->R is given by f(x) =|x| and g(x)=[x] for each x in ...

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  16. Let the function f, g, h are defined from the set of real numbers RR t...

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  17. If f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4=1, then (gof)(x...

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  18. Let f(x)=x^2a n dg(x)=sinxfora l lx in Rdot Then the set of all x sat...

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  19. Let f,g: RvecR be a two function defined as f(x)=|x|+xa n dg(x)=|x|-x ...

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  20. The period of f (x) =x - [x], if it is periodic is

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