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TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
- Let f: R-{5/4}->R be a function defines f(x)=(5x)/(4x+5). The invers...
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- If the function f:[1,oo)->[1,oo) is defined by f(x)=2^(x(x-1)), then ...
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- The inverse of the function f(x)=(e^x-e^(-x))/(e^x+e^(-x))+2 is given ...
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- The inverse of f(x)=(10^x-10^(-x))/(10^x+10^(-x))=
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- The inverset of the function y = (16 ^(x)-16 ^(-x))/(16 ^(x) + 16 ^(-x...
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- Let R be the set of real number and the mapping f :R to R and g : R to...
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- If f :R to R is defined by f (x) =(x )/(x ^(2) +1), find f (f(2))
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- If x ne 1 and f (x) =(x+1)/(x-1) is a real function, then f (f(f(2))) ...
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- The composite mapping fog of the maps f:R to R , f(x)=sin x and g:R to...
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- If f (x) =sin x+cos x, x in (-oo, oo) and g (x) = x^(2), x in (-oo,oo)...
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- If f(x)=(1-x)/(1+x), then f[ f(cos2 theta)]=
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- If f(x)=(25-x^(4))^(1//4) for 0 lt x lt sqrt5 then f(f((1)/(2)))=
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- If f(x) = (x-1)/(x+1), then f(2) is equal to
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- Let f(x)=(alpha x)/(x+1), x ne -1. Then, for what value of alpha " is ...
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- If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to
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- If f (x) = 8x ^(3), g (x) =x ^(1/3), then fog (x) is
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- If f(x) =2x +1 and g (x) (x-1)/(2) for all real x, then (fog) ^(-1)( (...
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- 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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- Let g(x)=1+x-[x] and f(x)={{:(-1",", x lt 0),(0",",x=0),(1",", x gt 0)...
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- Two functions f:Rrarr R, g:R rarr R are defined as follows : f(x)={{...
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