x = -4 is not undefined because f(x) = x+4 is in the top part, the numerator, not the denominator. So the value that makes f(x) = x + 4 zero does not result in a division by zero.

Indeed, if we try to evaluate (f/g)(-4), then we get

$\displaystyle\left( \frac{f}{g}\right)(-4) = \frac{f(-4)}{g(-4)} = \frac{-4+4}{-4-3} = \frac{0}{-7} = 0,$

which does not involve a division by zero.

However, attempting to evaluate (f/g)(3) leads us to

$\displaystyle\left( \frac{f}{g}\right)(3) =\frac{3+4}{3-3} = \frac{7}{0},$

which involves a division by zero, and divisions by zero are undefined

3 0

3 years ago

PLEASE HELP!<br> solve for x and then find measure for angle b

Bezzdna [24]

<h3>Answers:</h3><h3>x = 12</h3><h3>Angle B = 45 degrees</h3>

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Explanation:

Angles A and B are alternate exterior angles.

Due to the parallel lines, alternate exterior angles are congruent

A = B

5x-15 = 2x+21

5x-2x = 21+15

3x = 36

x = 36/3

x = 12

Use this x value to find the measure of angle B

angle B = 2x+21

angle B = 2*12+21

angle B = 24+21

angle B = 45 degrees

As a check,

angle A = 5x-15

angle A = 5*12+15

angle A = 60-15

angle A = 45 degrees

Since A and B are both 45 degrees, this confirms the correct x value

4 0

4 years ago

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