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Find the domain and range of each of the...

Find the domain and range of each of the following relations :
`R_4= {(x,y):x and y " are integers and "x^2+y^2 =25}`

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The correct Answer is:
Dom. `(R_4)="Range "(R_4)={-5,-4,-3,0,3,4,5}`
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CHHAYA PUBLICATION-RELATION AND MAPPING -Short Answer Type Question
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  4. Find the domain and range of each of the following relations : R5={(...

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  13. If f(x)=(1)/(1-x), show that, f[f{f(x)}]=x

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  14. If y=f(x)=(ax-b)/(bx-a), prove that f(x).f(1/x) is independent of x.

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  15. If y=f(x) =(px+q)/(rx-p), show that x = f(y).

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  17. If y=f(x)=(x-3)/(2x+1)and z=f(y), express z as a function of x.

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  18. If F(x)=(4x-5)/(3x-4), prove that F{F(x)} = x.

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  19. If f(x)=(a-x^n)^(1/n)," where "a gt0 and n is a positive integer, show...

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