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nataly862011 [7]
3 years ago
13

Given: g(x)=1/x+2 and h(x)=3x Check all restrictions on the domain of gOh.

Mathematics
2 answers:
Allisa [31]3 years ago
5 0

<em>x not equal to -2/3</em> is the answer.

Vlad [161]3 years ago
3 0

The composite function (g \circle h)(x) works like this:

  • Take a number x as input
  • Evaluate h(x) = 3x. Let's call this output z.
  • Evaluate g(x) = 1/(z+2)

So, if we substitute back z = 3x, the final output is 1/(3x+2). We know that the denominator of a fraction can't be zero, so we must impose

3x+2 \neq 0 \iff 3x \neq -2 \iff x \neq -\dfrac{2}{3}

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Write an equation of a line containing (2, 1) and (3, 4) in point-slope form.
ivann1987 [24]

Answer:

y-1=3(x-2)

Or

y-4=3(x-3)

Step-by-step explanation:

The slope formula is given by:

m=\frac{y_2-y_1}{x_2-x_1}

The line containing (2, 1) and (3, 4)  has slope;

m=\frac{4-1}{3-2}=3

The point-slope form is given by:

y-y_1=m(x-x_1)

We substitute the point and slope to get:

y-1=3(x-2)

Or

y-4=3(x-3)

8 0
3 years ago
Anthony currently earns $11.75 per hour. • He will get a $0.25 raise after 6 months. • He will get a 2.5% raise after an additio
Usimov [2.4K]

Answer:

You need to give more information that that...

Step-by-step explanation:

4 0
2 years ago
1/5 divided by (6 x 4)
Naily [24]

Answer:

1/120

Step-by-step explanation:

(1/5) / (6 * 4)

First simplify:

(1/5) / 24

Then, multiply be the reciprocal of 24 (Skip, Flip, Multiply):

\frac{1}{5} (\frac{1}{24})

and you get:

1 / (5 * 24)

1/120

3 0
2 years ago
Please help if you think you hot beautiful kind funny cool please help me please
Juli2301 [7.4K]

Answer/Step-by-step explanation:

The equation of the line that passes through the two points would be correct if each point, when substituted into the equation, satisfy the equation.

This is what I mean:

Given the equation of the line, y = 2x - 5, and the two points (-2, -9) and (3, 1):

For the first point, substitute x = -2, and y = -9 into y = 2x - 5.

Thus:

-9 = 2(-2) - 5

-9 = -4 - 5

-9 = -9 (this is true). It means the line runs through the point (-2, -9)

For the second point, substitute x = 3, and y = 1 into y = 2x - 5

This:

1 = 2(3) - 5

1 = 6 - 5

1 = 1 (this is true). This also means the point, (3, 1) is also a point that the equation runs across.

7 0
2 years ago
The product of the ages of two adults is 572. Find their ages.
AlladinOne [14]

Answer:

286

Step-by-step explanation:

7 0
3 years ago
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