Question

Question

$( x ^ { 4 } + \frac { 1 } { x ^ { 4 } } ) \times ( x + \frac { 1 } { x } )$

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Answer 1

Ans is R - { 2 }

Explanation :- f(x) = (x^2–1)/(x - 1)

We have to check the domain of the function.Clearly domain of the given function is all real numbers except 1.

Now , f(x) = (x^2–1)/( x-1) = x + 1i.e If we take x not equal to 1, then the function is simply x+1.Which gives the Range as all Real Numbers.

But as x cannot be equal to 1, which means function x + 1 cannot be equal to 2.

Hence the Range of the function is R - { 2 }

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Answer 2

Answer:

$x+1x=4x+1x=4</p><p>⟹(x+1x)2=42⟹(x+1x)2=42</p><p>⟹x2+1x2+2=16⟹x2+1x2+2=16</p><p>⟹x2+1x2=14⟹x2+1x2=14</p><p>⟹(x2+1x2)2=142⟹(x2+1x2)2=142</p><p>⟹x4+1x4+2=196⟹x4+1x4+2=196</p><p>⟹x4+1x4=194</p><p>$