Question

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

Answer 1

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 2

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.