### Eamcet - Maths - Functions Test

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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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