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 Sin-1 log2 (x2/2) is

  

  

  

  

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

  

  

  

  

The domain of √(x-1)(x-2)(x-3) is

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

The domain of 1/√[x]2-[x]-6 is

  

  

  

  

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

  

  

  

  

The domain of √x2-3x+2 is

  

  

  

  

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

  

  

  

  

If f(x)=3x-7/5x-3 then (fof)(x)=

  

  

  

  

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

  

  

  

  

The domain of √[x-1/2-x] is

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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  f(x)=αx+β and f={(1, 1), (2,3), (3,5), (4, 7)} then the values of α, β are

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

log (x+√x2+1)/x is

  

  

  

  

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

  

  

  

  

The domain of Cos-1(2x-3)+√9-4x2 is

  

  

  

  

Domain of log(x-2)/√3-x is

  

  

  

  

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

  

  

  

  

The domain of √1-3x+Cos-1 3x-1/2 is

  

  

  

  

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

  

  

  

  

The domain of √3+x + √3-x/x is

  

  

  

  

The domain of log10 (x3-x) is

  

  

  

  

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