Let A be the set of all real numbers exc...

Let A be the set of all real numbers except -1 and an operation 'o' be defined on A by aob = a+b + ab for all a, `b in A`, then identify elements w.r.t. 'o' is

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AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Assignment (Section - A) Objective Type Questions (one option is correct)

If f(x) = x/(x-1)=1/y then the value of f(y) is
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gof exists, when :
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If f : R rarr R, f(x) = x^(2) + 2x - 3 and g : R rarr R, g(x) = 3x - 4...
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If f : R rarr R, f(x) = x^(2) - 5x + 4 and g : R^(+) rarr R, g(x) = lo...
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If f : R - {1} rarr R, f(x) = (x-3)/(x+1), then f^(-1) (x) equals
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If function f : R rarr R^(+), f(x) = 2^(x), then f^(-1) (x) will be eq...
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If f(x) = 2 sinx, g(x) = cos^(2) x, then the value of (f+g)((pi)/(3))
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The graph of the function y = log(a) (x + sqrt(x^(2) + 1)) is not sym...
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If the function f:[1,oo)to[1,oo) is defined by f(x)=2^(x(x-1)) then f^...
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Given f(x) = (1)/((1-x)), g(x) = f{f(x)} and h(x) = f{f{f(x)}}, then t...
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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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If g(f(x))=|sinx|a n df(g(x))=(sinsqrt(x))^2 , then f(x)=sin^2x ,g(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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If f : [1, oo) rarr [2, oo) is given by f(x) = x + (1)/(x) then f^(-1)...
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If f : [0, oo) rarr [0, oo) and f(x) = (x^(2))/(1+x^(4)), then f is
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Let '**' be the binary operation defined on the set Z of all integers ...
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The binary operation defined on the set z of all integers as a ** b =...
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If A = {1, b}, then the number of binary operations that can be define...
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Let A be the set of all real numbers except -1 and an operation 'o' be...
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Let f(x) = (x)/(1+|x|), x in R, then f is
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