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Draw graph of y=(x^(2)-6x+4)/(x^(2)+2x+4...

Draw graph of `y=(x^(2)-6x+4)/(x^(2)+2x+4)`.

A

`((-oo,-(2)/(3))] cup[2,0)`

B

`[(-1)/(3),5]`

C

`(-oo,2)cup[(7)/(3),oo)`

D

`(20,oo)`

Text Solution

Verified by Experts

The correct Answer is:
2
`f(X)=(x^(2)-6x+4)/(x^(2)+2x+4)=1-(8x)/(x^(2)+2x+4)`
`f(x)-8((x^(2)+2x+4)-x(2x+2))/((x^(2)+2x+4)^(2)]`
`f(X)=0 rarrx2 or -2`
`f(2)=(4-12+4)/(4+4+4)=-4/12=-1/3`
`f(2)=(4+12+4)/(4-4+4)=5`
The graph of y =f(X) is as shown
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CENGAGE-MONOTONICITY AND MAXIMA MINIMA OF FUNCTIONS-Exercise (Comprehension)
  1. consider the function f(x) =1(1+(1)/(x))^(x) The domain of f(x) is

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  2. consider the function f(x) =1(1+(1)/(x))^(x) The function f(x)

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  3. consider the function f(x) =1+(1)/(x)^(x) The range of the function ...

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  4. consider the function f(X) =x+cosx -a which of the following is not ...

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  5. consider the function f(X) =x+cosx -a values of a which f(X) =0 has ...

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  6. consider the function f(X) =x+cosx -a values of a for which f(X) =0 ...

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  7. consider the function f(X) =3x^(4)+4x^(3)-12x^(2) Y= f(X) increase i...

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  8. consider the function f(X) =3x^(4)+4x^(3)-12x^(2) The range of the f...

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  9. consider the function f(X) =3x^(4)+4x^(3)-12x^(2) The range of value...

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  10. consider the function f:R rarr R,f(x)=(x^(2)-6x+4)/(x^(2)+2x+4) f(x)...

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  11. consider the function f:R rarr R,f(x)=(x^(2)-6x+4)/(x^(2)+2x+4) whic...

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  12. Draw graph of y=(x^(2)-6x+4)/(x^(2)+2x+4).

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  13. Consider a polynomial y = P(x) of the least degree passing through A(-...

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  14. Consider a polynomial y = P(x) of the least degree passing through A(-...

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  15. Consider a polynomial y = P(x) of the least degree passing through A(-...

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  16. Let f(X) be real valued continous funcion on R defined as f(X) =x^(2)e...

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  17. Let f(X) be real valued continous funcion on R defined as f(X) =x^(2)e...

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  18. Let f(X) be real valued continous funcion on R defined as f(X) =x^(2)e...

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  19. P(x) be a polynomial of degree 3 satisfying P(-1) =10 , P(1) =-6 and p...

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  20. P(x) be a polynomial of degree 3 satisfying P(-1) =10 , P(1) =-6 and p...

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