Unanswered Relation Functions Questions

For real values of x, range of the function y=frac{1}{2-sin 3x} is ...

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Domain of definition of the function f(x),=frac{3}{4-{{x}^{2}}}+{{log }_{10}}({{x}^{3}}-x),, is ...

If f:R o R,, then f(x),=,|x| is ...

Which of the following is an even function? ...

The period of the function f(x)=2cos frac{1}{3}(x-pi ) is ...

If f:R o R,,f(x)=2x-1 and g:R o R, g(x)={{x}^{2}} then (gof),(x) equals ...

Which of the following represents the same graph as {x}={y} a) tan(πy)=tan(πx) b) sin(πy)=sin(πx) c) cos(πy)=cos(πx) d) None of these ...

f(x)=cos sqrt{x}, correct statement is a) f(x) is periodic & its period =sqrt{2}pi b) f(x) is periodic & its period =4{{pi }^{2}} c) f(x) is periodic & its period =sqrt{pi } d) f(x) is not periodic ...

Let f(x)=(1+{{b}^{2}}){{x}^{2}}+2bx+1 and m(b) the minimum value of f(x) for a given b. As b varies, the range of m(b) is a) [0,,1] b) left( 0,left. frac{1}{2} ight] ight. c) left[ frac{1}{2},,,1 ight] d) (0,,1] ...

If then f(x),f(y) - frac{1}{2}[fleft({frac{x}{y}} ight) + f(xy)] = a) frac{1}{2} b) 2 c) 0 d) 1 ...

If varphi (x) = {a^x}, then {{ varphi (p)} ^3} is equal to a) phi(3p) b) 3varphi (p) c) 6phi(p) d) 2phi(p) ...

R is a relation from {11, 12, 13} to {8, 10, 12} defined by y = x - 3 . Then {R^{ - 1}} is a) {(8, 11), (10, 13)} b) {(11, 18), (13, 10)} c) {(10, 13), (8, 11)} d) None of these ...

Let R = {(1, 3), (2, 2), (3, 2)} and S = {(2, 1), (3, 2), (2, 3)} be two relations on set A = {1, 2, 3}. Then RoS = a) {(1, 3), (2, 2), (3, 2), (2, 1), (2, 3)} b) {(3, 2), (1, 3)} c) {(2, 3), (3, 2), (2, 2)} d) {(2, 3), (3, 2 ...

The inverse of the function f(x)=frac{{{e}^{x}}-{{e}^{-x}}}{{{e}^{x}}+{e}^{-x}}}+2 is given by a) {{log }_{e}}{{left( frac{x-2}{x-1} ight)}^{frac{1}{2}}} b) {{log }_{e}}{{left( frac{x-1}{3-x} ight)}^{frac{1}{2}}} c) {{log }_{ ...

Let n(A) = n. Then the number of all relations on A is a) {2^n} b) {2^{(n)!}} c) {2^{{n^2}}} d) None of these ...

If for two function f and g ; gof is a bijection, then correct statement is a) Both g and f must be bijections b) g must be a bijection c) f must be a bijection d) Neither of them may be a bijection ...

If f(x)=sqrt{|x-1|} and g(x)=sin x, then (fog)(x) is equal to a) sin sqrt{|x-1|} b) |sin x/2-cos x/2| c) |sin x-cos x| d) None of these ...

In a certain town 25% families own a phone and 15% own a car, 65% families own neither a phone nor a car. 2000 families own both a car and a phone. Consider the following statements in this regard: 1.10% families own both a c ...

The period of the function f(x)=|sin x|+|cos x| is a) pi b) pi /2 c) 2pi d) None of these ...

The relation R defined on the set A = {1, 2, 3, 4, 5} by R = {(x, y) : |{x^2} - {y^2}| < 16} is given by a) {(1, 1), (2, 1), (3, 1), (4, 1), (2, 3)} b) {(2, 2), (3, 2), (4, 2), (2, 4)} c) {(3, 3), (3, 4), (5, 4), (4, 3), ( ...

The range of f(x)=cos (x/3) is a) [-1/3,,,1/3] b) [,-3,,3] c) [1/3,,,-1/3] d) [– 1, 1] ...

f(x)= log[x]/x evaluate limit x→ ∞ ...

If f(x) = frac{x}{{x - 1}}, then frac{f(a)}{f(a+1)} a) f(-a) b) fleft( {frac{1}{a}} ight) c) f({a^2}) d) fleft(frac{-a}{a-1} ight) ...

Let R be a relation on N defined by x + 2y = 8 . The domain of R is a) {2, 4, 8} b) {2, 4, 6, 8} c) {2, 4, 6} d) {1, 2, 3, 4} ...

The value of alpha for which the function f(x)=1+alpha x,,alpha e 0 is inverse of itself will be a) -2 b) -1 c) 1 d) 2 ...

Range of f(x)=frac{{{x}^{2}}+34x-71}{{{x}^{2}}+2x-7} is a) [5,,9] b) (-infty ,,5]cup ,[9,,infty ) c) (5,,9) d) None of these ...

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Given that f is areal valued differentiable function such that f(x)f'(x)<0,for all real x.It fpllows that a) f(x) is an increasing function b) f(x) is a decreasing fnction C) mod(f(x)) is an increasing function d) mod(f(x) ...

If each ai>0, then the shortest distance between the point(0,-3) and the curve y=1+a1x2 + a2x4 + ...........................................+anx2n is a) 1 b) 2 c) 3 d) 4 ...