How do you simplify and find the restrictions for (6)/(x+3)6x+3?

1 Answer
Anthony R.
Apr 25, 2017

See explanation

Explanation:

The function 6/(x+3)6x+3 will have a restricted domain at x=-3x=−3.

We know this because the denominator of our function cannot be 00 and to find what value this occurs, we set the denominator equal to 00 such that:

x+3=0 -> x=-3x+3=0→x=−3

What this tells us that the graph will have a vertical asymptote at x=-3x=−3

Thus our domain for this function is: {x| x!= -3} or (-oo,-3) uu (-3,oo){x∣x≠−3}or(−∞,−3)∪(−3,∞)

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