Question

What is the excluded value of x for mc015-1.jpg? x = 2 x = 3 x = 4 x = 9

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

The excluded value of x for

$\displaystyle \sf{ \frac{ {(x - 4)}^{2} }{ {(x - 9)}^{2} } }$

• x = 2

• x = 3

• x = 4

• x = 9

EVALUATION

Let f(x) be the the given function

Then

$\displaystyle \sf{f(x) = \frac{ {(x - 4)}^{2} }{ {(x - 9)}^{2} } }$

Numerator = ( x - 4 )²

Denominator = ( x - 9 )²

We know that a function is not well defined where denominator vanishes

( x - 9 )² = 0 gives x = 9

Thus we observe that the given function is not well defined for x = 9

So the required excluded value of x = 9

FINAL ANSWER

Hence the correct option is x = 9

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