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3 years ago

What is the domain of g?

Mathematics

1 answer:

Anastaziya [24]3 years ago

5 0

All real numbers
The domain of g(x) is the set of all real numbers. Also, g(g(x)) is defined for the set of all real numbers.

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Triangle A″B″C″ is formed using the translation (x + 1, y + 1) and the dilation by a scale factor of 3 from the origin. Which eq

babymother [125]

Answer:

For the first one B, the second one A, and I don't know the other sorry.

Step-by-step explanation:

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3 years ago

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Alan says that two lines in the coordinate plane are perpendicular if and only if the slopes of the lines are m and 1m. Identify

mart [117]

Answer:

First, two lines are perpendicular if one has slope m, and the other has slope -1/m (Not 1m as Alan says)

That is the first error of Alan.

Now, there is another error.

If m = 0, then -1/m tends to minus infinity (in this case we would have a vertical line).

But we can not really divide by zero, so we should state that:

m can not be zero, if a line is horizontal, the perpendicular line must be vertical.

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3 years ago

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andrezito [222]

Answer:

i'm pretty sure it's B

Step-by-step explanation:

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3 years ago

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Find an equation of the sphere through the point (4,3,-1) and has center (3,8,1).

sleet_krkn [62]

Answer:

$(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = 30$

Step-by-step explanation:

The general equation of a sphere is as follows:

$(x - x_{c})^{2} + (y - y_{c})^{2} + (z - z_{c})^{2} = r^{2}$

In which the center is $(x_{c}, y_{c}, z_{c}$ , and r is the radius.

In this problem, we have that:

$x_{c} = 3, y_{c} = 8, z_{c} = 1$

$(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = r^{2}$

through the point (4,3,-1)

This leads us to find the radius.

$(4 - 3)^{2} + (3 - 8)^{2} + (-1 - 1)^{2} = r^{2}$

$r^{2} = 1 + 25 + 4$

$r^{2} = 30$

So the equation of the sphere is:

$(x - 3)^{2} + (y - 8)^{2} + (z - 1)^{2} = 30$

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3 years ago

What is the domain of f?

larisa86 [58]

Answer:

$\huge \boxed{\mathrm{A}}$

Step-by-step explanation:

The domain of a function is all possible values for the value of x.

The denominator in a rational function cannot equal to 0.

$x+2\neq 0$

Subtracting 2 from both sides.

$x\neq -2$

The domain of the function is all real numbers except -2.

7 0

3 years ago