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If A = {p,q,r, s} and B = {1, 2, 3}, fi...

If `A = {p,q,r, s} and B = {1, 2, 3}`, find which of the following is not a function from A to B? (i) R1={(p,1),(q,2),(r,1),(s,2)} (ii) R2={(p,1),(q,1),(r,1),(s,1)}

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RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

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  2. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

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  3. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

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  4. Let A = {9, 10 , 11 , 12 , 13}and let f : A ->Nbe defined by f(n) = th...

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  5. The relation f is defined by f(x)={x^2,0lt=xlt=3 3x ,3lt=xlt=10The rel...

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  6. If f(x)=x^2, find (f(1. 1)-f(1))/((1. 1-1))

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  7. If f(x)=3x^4-5x^2+9, find f(x-1) .

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  8. If f(x)=1/(2x+1),\ x!=-1/2,\ then show that f(f(x))=(2x+1)/(2x+3) , p...

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  9. If f(x) = x^2 - 3x + 4, then find the values of x satisfying the equat...

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  10. If f(x)=(x-a)^2(x-b)^2, find f(a+b)

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  11. If f(x)=(x+1)/(x-1) , show that f{f(x)}=xdot

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  12. If f(x)= {(x^2,"when" ,xlt0),( x ," when", 0lexlt1),( 1/x ," when", ...

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  13. If f(x)=(2x)/(1+x^2)\ , show that f(tantheta)=sin2theta)

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  14. Find the domain of each of the following real valued function: f(x)=1/...

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  15. Find the domain of each of the following real valued function: f(x)=(x...

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  16. Find the domain of each of the following real valued function: f(x)=(2...

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  17. Find the domain of each of the following real valued function: f(x)=(x...

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  18. Find the domain of the function f(x) defined by f(x)=sqrt(4-x)+1/(sqrt...

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  19. The range of the function f(x) = (x^2-9)/(x-3); x!=3 is

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  20. The domain and range of the real function f defined by f(x)=(4-x)/(x-4...

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