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RD SHARMA-FUNCTIONS-Solved Examples And Exercises
- If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...
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- If f(x) = cos(log x) then f(x^2)f(y^2)-1/2[f(x^2y^2)+f(x^2/y^2)] has t...
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- Relation between graphs of a function and its inverse
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- A be the set of two positive integers and f: A -> Z^+ (set of positiv...
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- Range of f(x) =1/(1-2cosx) is (1) [1/3,1] (2) [-1,1/3] (3) (-o...
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- Let f:[2,oo) rarr R and g:[-2,oo) rarr R be to two real functions defi...
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- Find the domain of each of the following real valued functions of real...
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- Examples :- If x;yin{1;2;3;4};then which of the following are function...
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- Find the domain and range of the function f={(x :1/(1-x^2)): x in R ...
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- Express the following functions as sets of ordered pairs and determine...
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- if for nonzero x, af(x) + bf(1/x) =1/x-5, where a!=b then f(2) =
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- If f(x) = (a-x^n)^(1/n), a > 0 and n in N, then prove that f(f(x)) = x...
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- If f(x)=(x-1)/(x+1) , then show that f(1/x)=-f(x) (ii) f(-1/x)=-1/(f(...
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- Find the domain and range of the function f(x) given by f(x)=(x-2)/(3-...
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- Find range of each of the following functions:
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- Is g={(1,1),(2,3),(3,5),(4,7)} a function? If this is described by th...
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- Let f: RvecR be such that f(x)=2^x . Determine: Range of f (ii) {x :f...
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- Let f: RvecR be given by f(x)=x^2+3. Find (i) {x :f(x)=28} (ii) the pr...
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- Find the domain and range of the function f(x)=1/(2-sin3x) .
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- If [x]^2-5[x]+6=0, where [.] denotes the greatest integer function, th...
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