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Lucy found that a solution of x = − 4 was extraneous for her function. What would be a possible denominator in Lucy's function?


x^2 +3x-4

x^2 -9

x+5

x-4

Verified Answer :

Hagrid

A solution is extraneous when the denominator of the function becomes zero when the solution is substituted.

Equating each of the options to 0:

x^2 +3x-4 = 0
x = 1 and -4

You can check the other options but they won't result to having a solution of x=-4

Therefore, the possible denominator of the function is
x^2 +3x-4

Answer:

Option 1

Step-by-step explanation:

We will find the solution for the expression in option 1

\(x^2+3x-4\)

\(x^2+4x-x+4\)

\(x^2-x+4x-4\)

\(x(x-1)+4(x-1)\)

\((x+4)(x-1)\)

Hence, x=1 and x=-4 willl be the solution

Hence, \(x^2+3x-4\)  will be in denominator.

Hence, Option 1 is correct

Option 2,3 and 4 are discarded.

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