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MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Illustrative Example
- Let N rarr N be defined by f(x) = 3x. Show that 'f' is not an onto fun...
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- Let A = {1, 2, 3}, B = {4, 5, 6, 7}and let f = {(1, 4), (2, 5), (3, 6)...
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- If f(x)=x^3-1/(x^3) , show that f(x)+f(1/x)=0.
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- If f is a real function defined by f(x)=(x-1)/(x+1), then prove that f...
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- If f(x)=1/(2x+1),\ x!=-1/2,\ then show that f(f(x))=(2x+1)/(2x+3) , p...
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- If f(x)=loge((1-x)/(1+x)); prove that f(a)+f(b)=f((a+b)/(1+a b))
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- माना f:R rarr R एक फलन इस प्रकार परिभाषित है, कि f(x)={:{(3x-1, " ...
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- For the relation y= + sqrtx, say whether it is a function or not. If i...
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- Find the domain and range of the following functions: (i) f(x) = sqr...
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- The domain of the function f(x)=1/(sqrt([x]^2-2[x]-8)) is, where [*] d...
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- Find the domain of the function f(x) = (x^(2) + 2x +1)/(x^(2) - 8x +12...
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- Find the range of the following function: f(x) = (1)/((2x-3) (x+1))
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- Find the domain of the function: f(x) = (x^(2) + 3x+5)/(x^(2) -5x+4)
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- Which of the following functions are odd or even or neither: (i) f(x...
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- The period of x-[x] where [x] represents the integral part of x is
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- Solve: [2x-3]=5
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- Let f and g be two functions defined by: f(x) = sqrt(x-1) and g(x) = s...
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- The domain of the function f(x)=(sin^(-1)x)/([x]) is (where is greates...
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- Define the function f : R -> R by y = f(x) = x^2 , x in R . ...
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- Draw the graph of the function: f: R rarr R defined by f(x) = x^(3), x...
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