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what is the restriction of the equation 4y(8y+24)^-1

My choices are either y cannot equal +3
or y cannot equal -3

Respuesta :

remotecontrolbrain

Answer:

y cannot equal -3

Step-by-step explanation:

The denominator in this rational expression must not become zero, so:

[tex]\frac{4y}{8y+24}\,,\,\,\,8y+24\neq 0\implies y\neq -3[/tex]

altavistard

Answer:

y cannot equal -3.

Step-by-step explanation:

Rewrite 4y(8y+24)^-1  to make it more obvious that this is a rational quantity:


4y                      4(y)             y

--------------   =   ---------- = ------------

(8y+24)^1           8(y+3)      2(y+3)

The only y value for which this function is undefined is y = -3.  At that value of y, the fraction is undefined due to division by zero.


Thus, the correct answer is "y cannot equal -3."


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