Eamcet - Maths - Functions Test

Test Instructions :

1. The Test is 1hr duration.
2. The Test Paper consists of 30 questions. The maximum marks are 30.
3. All the questions are multiple choice question type with three options for each question.
4. Out of the three options given for each question, only one option is the correct answer.
5. Each question is allotted 1 mark for each correct response.
6. 0.25 will be deducted for incorrect response of each question.
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The domain of √3+x + √3-x/x is

  

  

  

  

If f(x)=cos2x+cos2(600+x) + cos2(600-x) and g(3/2)=5 then gof(x)=

  

  

  

  

If f(x)=x3-x, g(x)=sin 2x, then

  

  

  

  

If  f(x)=1og(cos x),  then  domain f.=

  

  

  

  

If f(x)=[x], g(x)=x-[x]then which of the following functions is the zero functions

  

  

  

  

If f(x)=log (x-5)(2-x), g(x)=log (x-5), h(x)= log (2-x) then

  

  

  

  

If f : R → R is continuous such that f(x + y) = f(x) + f(y), ∀x∈R, y∈R, and f(1) = 2 then f(100) =

  

  

  

  

If A={1,2, 3}, B= {a, b, c, d}, f={(1,a), (2, b), (3, d)}, then f is

  

  

  

  

The domain of 1/√[x]2-[x]-6 is

  

  

  

  

if f: [0, ∞)→R defined by f(x)=x2, then f is

  

  

  

  

If f: R-{5/2}→R-{-1} defined by f(x)=2x+3/5-2x then f-1(x)=

  

  

  

  

Consider the function f(x)=x sin(1/x),x≠0 and f(0) =0,then

  

  

  

  

The domain of f(x)= log10(√x-4 +√6-x) is

  

  

  

  

The domain of √x2-3x+2 is

  

  

  

  

f={(1, 4),  (2,-2), (3,10)} then f/2=

  

  

  

  

The domain of f(x)=(9-x)Px-4 is

  

  

  

  

The domain of Sin-1 log2 (x2/2) is

  

  

  

  

The range of f(x)=10- |3-2x| is

  

  

  

  

The inverse of f(x)=10x-10-x/ 10x+10-x is

  

  

  

  

The range of x2+4y2+9z2-6yz-3xz-2xy is

  

  

  

  

The domain of √[x-1/2-x] is

  

  

  

  

The domain of Cos-1(2x-3)+√9-4x2 is

  

  

  

  

The function y=f(x) satisfying the condition f(x+1/x)=x3+1/x3 is

  

  

  

  

The function f(x) = x/√1-x2 and g(x)=x/√1+x2, find fog(x).

  

  

  

  

If f(x)=1/2[3x+3-x], g(x)=1/2[3x-3-x], then f(x) g(y)+f(y)g(x)=

  

  

  

  

If f(x)= (a-xn)1/n, where a>0 and n?N, then (fof)(x)=

  

  

  

  

If f={(a, 1), (b, -2), (c, 3)}, g={(a, -2), (b, 0), (c, 1)} then f2+g2=

  

  

  

  

The domain of 1/ log(1-x) is

  

  

  

  

The domain of √1-3x+Cos-1 3x-1/2 is

  

  

  

  

if f(x)=a2x-a-2x/a2x+a-2x, then f(x) is

  

  

  

  

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