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If y=f(x)=(3x-5)/(2x-m)and f(y)=x, find ...

If `y=f(x)=(3x-5)/(2x-m)and f(y)=x,` find the value of m.

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The correct Answer is:
m=3
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CHHAYA PUBLICATION-RELATION AND MAPPING -Short Answer Type Question
  1. If y=f(x)=(ax-b)/(bx-a), prove that f(x).f(1/x) is independent of x.

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

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  3. If y=f(x)=(3x-5)/(2x-m)and f(y)=x, find the value of m.

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

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

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

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  7. If phi(x)=(1-x)/(1+x) prove that phi{phi(x)}=x

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  8. If phi(x)=(1-x)/(1+x) prove that phi{phi(cottheta)}=cottheta

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