### Eamcet - Maths - Functions Test

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The domain of Cos-1(2x-3)+√9-4x2 is

The domain of √1-3x+Cos-1 3x-1/2 is

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

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

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) =

The domain of √[x-1/2-x] is

f={(1, 4),  (2,-2), (3,10)} then f/2=

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

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

The domain of 1/ log(1-x) 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

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

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

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

The domain of √(x-1)(x-2)(x-3) is

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

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

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

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

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

The domain of 1/√[x]2-[x]-6 is

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

If fn(x)= (tan x/2)(1+sec x)(1+2 sec x)…….(1+sec 2n x) then the following is not true?

Let f(x)=-2sinx, if x≤-π/2; f(x)=a sinx+b,if –π/2

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

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

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

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

The domain of √x2-3x+2 is

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

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