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DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1A(FUNCTIONS)
- If f(n)=(-1)^(n-1)(n-1) and g(n)=n-f (n)AA n in N then (gog)(n)=
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- If f(x) =(p-x^n)^(1/n) ,p >0 and n is a positive integer then f[f(x)] ...
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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:[-6, 6]rarr RR defined by f(x)=x^(2)-3" for " x in R then (fofof...
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- If f(x)=(1)/(sqrt(x+2sqrt(2x-4)))+(1)/(sqrt(x-2sqrt(2x-4))) for x gt 2...
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- If f(x)=sin^(2)x+sin^(2)(x+pi//3)+cosxcos(x+pi//3) and g(5//4)=1 then ...
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- If f(x)=cos^(2)x+cos^(2)(x+60^(@))+cos^(2)(x-60^(@)) and g(3//2)=5 the...
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- If y=f(x)=(2x-1)/(x-2), then f(y)=
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- If f(x)=(3x-7)/(5x-3) then (fof)(x)=
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- If f(x)=-|x|, then (fofof)=
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- If f(x)=(x)/(sqrt(1-x^(2))), g(x)=(x)/(sqrt(1+x^(2))) then (fog)(x)=
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- If f(x)=log.(1+x)/(1-x) and g(x)=(3x+x^(3))/(1+3x^(2)) then (fog) (x)...
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- If f(x)=(x)/(sqrt(1-x^(2))) then (fofof)(x)=
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- If f(x)=(x)/(sqrt(1+x^(2))), then (fofof)(x)=
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- If f(x)=[x], g(x)=x-[x] then which of the following functions is the z...
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- If f:Rrrarr RR and g: RR rarr RR are defined by f(x)=|x| and g(x)=[x-3...
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- If f(x) is defiend on [0, 1] as f(x)={{:(x","," if "x in Q),(1-x","," ...
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- If f(x)=(1)/(2)[3^(x)+3^(-x)], g(x)=(1)/(2)[3^(x)-3^(-x)] then f(x)g(y...
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- If f: A to B, g:B to C are two bijective functions then prove that gof...
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- If f:A to B is a bijective function then prove that (ii) f^(-1) of =...
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