NOTOUCHWHATidn
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What are the possible values of x for the following functions? F(x)= x-3 / 2x+6

Sagot :

Answer:

(in English)

x can be anything EXCEPT -3

(in Math)

Interval Notation:

(negativeinfinitysymbol,-3)U(-3,infinitysymbol)

Set Builder Notation:

{x | x < -3 or x > -3}

Step-by-step explanation:

Since this function is a rational function (like a fraction) we have to watch out for what is going on in the denominator. The denominator cannot be zero.

So, 2x + 6 cannot be zero. Let's figure out what makes 2x+6 actually equal to 0.

2x + 6 = 0

Subtract 6.

2x = -6

Divide by 2.

x = -3

Remember this is what x canNOT be.

This question is a domain question. What is x allowed to be? x may be anything except -3.

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