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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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Ben bought a new computer for $1200. Each yedt, the value of the computer decreases
zavuch27 [327]

Answer:

$141

Step-by-step explanation:

1200-(1200*30/100 )

and i did that six time each tume with the new numbers i got

3 0
2 years ago
Find the are of a parallelogram that has a base of 7 1/2 and a height of 5 2/7
Amiraneli [1.4K]
Use the formula for the area of a parallelogram:

\sf A=bh

Plug in what we know:

\sf A=(7\dfrac{1}{2})(5\dfrac{2}{7})

Convert both of them into improper fractions. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:

\sf A=(\dfrac{15}{2})(\dfrac{37}{7})

Now multiply the numerators and denominators together:

\sf A=\dfrac{15}{2}\cdot\dfrac{37}{7}\rightarrow\dfrac{15\cdot 37}{2\cdot 7}\rightarrow\dfrac{555}{14}

Convert it back into a mixed number. 14 goes into 555 thirty-nine times. 14 * 39 = 546. 555 - 546 = 9. So we have 39 wholes and 9 left over, or:

\sf 39\dfrac{9}{14}

So this is the area of the parallelogram.
6 0
3 years ago
Please help me asap!
bazaltina [42]

Answer:

Value of A is -1

Value of B is 1

7 0
2 years ago
Which matrix represents the system of equations shown below? 3x -7y=21
Serjik [45]

\left\{\begin{array}{ccc}3x-7y=21\\4x+5y=11\end{array}\right \\\\.\ \ x\qquad y\ \ const.\\\left[\begin{array}{ccc}3&-7\\4&5\end{array}\right|\left\begin{array}{ccc}21\\11\end{array}\right]

8 0
3 years ago
The triangle below is equilateral. Find the length of side xx in simplest radical form with a rational denominator.
mylen [45]

The length of side x in simplest radical form with a rational denominator is 8√3

<h3>How to find the length of side x in simplest radical form with a rational denominator?</h3>

The given parameters are:

Triangle type = Equilateral triangle

Height (h) = 12

Missing side length = x

The missing side length, x is calculated using the following sine ratio

sin(60) = Height/Missing side length

This gives

sin(60) = 12/x

Make x the subject of the formula

So, we have

x = 12/sin(60)

Evaluate the quotient

So, we have

x = 12/(√3/2)

This gives

x = 24/√3

Rationalize

x = 24/√3 * √3/√3

Evaluate

x = 8√3

Hence, the length of side x in simplest radical form with a rational denominator is 8√3

Read more about triangles at

brainly.com/question/2437195

#SPJ1

6 0
1 year ago
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