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choose one and please explain. Thank you so much!
a. {xlx ~ plus or minus 9, ~0}
b. {xlx ~ plus or minus 5, ~0}
c. {xlx ~ plus or minus 3, ~0}
d. {xlx ~ plus or minus 7, ~0}

2006-06-13 14:55:43 · 5 answers · asked by Anonymous in Science & Mathematics Mathematics

5 answers

d, the domain is the set of all real numbers except for those values where the function is undefined, such as when evaluating the function would require you to divide by zero.

For the purposes of this question, only the (x^2 - 49) component is relevant. When x is seven or negative seven, this term will be zero, making the entire denominator zero, and thereby making the function undefined.

2006-06-13 14:59:57 · answer #1 · answered by Argon 3 · 3 1

Because the denominator of the fraction can't equal 0, set it equal to zero to find what cannot be in the domain.
Once you go that, you'll see that x can't be 0, and x can't be 7 or -7, so the answer's D.

2006-06-13 14:58:07 · answer #2 · answered by quepie 6 · 0 0

d. (mathematics domain are the valid input values of x to the function that return a real number for h(x)). In other words, you can plug any real number into this function except 7, -7, 0 (they all result in a divide by zero or infinity).

2006-06-13 15:06:51 · answer #3 · answered by Froede 1 · 0 0

It's d.
Factor the denominator.

2006-06-13 14:58:15 · answer #4 · answered by scotsgirl 2 · 0 0

d

2006-06-13 14:57:59 · answer #5 · answered by Keyur Shah 1 · 0 0

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