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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   Time Left : 00 : 30    : 00

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

If y=x2+2x+1/x2+2x+7, then inverse function x is defined only when

  

  

  

  

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

  

  

  

  

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

  

  

  

  

f={(1, 4),  (2,-2), (3,10)} then f/2=

  

  

  

  

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

  

  

  

  

The domain of √x2-3x+2 is

  

  

  

  

If f: R→R,, g: R→R, are defined by f(x)=4x-1, g(x)=x3+2, then gof(a+1/4)=

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

Let f be an injective function with domain{x, y ,z} and range {1,2,3}such that exactly one of the  following statements is correct and the remaining are false. F(x)=1, f(y)≠1, f(z)≠2. The value of f1(1) is

  

  

  

  

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

  

  

  

  

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

  

  

  

  

The domain of √1-3x+Cos-1 3x-1/2 is

  

  

  

  

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

  

  

  

  

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

  

  

  

  

The domain of log10 (x3-x) is

  

  

  

  

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

  

  

  

  

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

  

  

  

  

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

  

  

  

  

The domain of √3+x + √3-x/x is

  

  

  

  

A={-1, 0, 1, 2}, B= {2, 3, 6,}If f from A into B defined by f(x)=x2+2, then f  is

  

  

  

  

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

  

  

  

  

The domain of √(x-1)(x-2)(x-3) is

  

  

  

  

The domain of √[x-1/2-x] is

  

  

  

  

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