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valkas [14]
3 years ago
9

HELP I'M SOOOOOO ANGRYYYYY PLEASE HELPPPPdetermine the values of X for which g(x) is defined​

Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer: Any real number x as long as x \ne 0 and x \ne -\frac{2}{3}

In other words, anything but 0 or -2/3 is valid.

========================================================

Explanation:

Set the denominator equal to zero and solve for x

2(3x^2 + 2x) = 0

3x^2 + 2x = 0

x(3x + 2) = 0

x = 0 or 3x+2 = 0 .... zero product property

x = 0 or 3x = -2

x = 0 or x = -2/3

If either x = 0 or x = -2/3, then the denominator 2(3x^2 + 2x)  will be zero. But recall that we cannot have zero in the denominator. Dividing by zero is not allowed. The expression is undefined when we divide by zero.

Therefore, we must exclude x = 0 and x = -2/3 from the domain. Any other real number is valid as an x input.

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The total length of wires a b and c is 445 cm wire a is 45 cm longer then wire b and wire b is half as long as wire c how long i
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Answer:

a = 145\ cm

Step-by-step explanation:

Given

a + b + c = 445

a = 45 + b

b = \frac{1}{2}c

Required

Determine the length of a

Solve for c in b = \frac{1}{2}c

2 * b = \frac{1}{2}c * 2

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