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Kaylis [27]
3 years ago
15

Consider the composite function (g (x) ) = StartRoot StartFraction 1 Over x squared minus 3 EndFraction EndRoot. If g(x) = x2 –

3, what is f(x)?
f (x) = StartRoot StartFraction negative 1 Over x EndFraction EndRoot
f (x) = StartRoot StartFraction negative 1 Over x + 6 EndRoot EndFraction
f (x) = StartRoot StartFraction 1 Over x EndFraction EndRoot
f (x) = StartRoot StartFraction 1 Over x + 6 EndFraction EndRoot
Mathematics
1 answer:
balandron [24]3 years ago
8 0

Answer:

answer is c

Step-by-step explanation:

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|3 - 5 + 7|.<br><br>O 15<br>O 5<br>O -15<br>O -5​
Aliun [14]

Answer:

5

Step-by-step explanation:

The answer is 5

because 3 - 5 = -2

and -2 + 7 = 5

so the answer is 5

4 0
3 years ago
Write y=x^2+16x−7​ in vertex form. Then identify the vertex.
WARRIOR [948]

The vertex form of the function is y = (x + 8)² - 71

The vertex is (-8 , -71)

Step-by-step explanation:

The vertex form of the quadratic equation y = ax² + bx + c is

y = a(x - h)² + k, where

  • (h , k) are the coordinates of the vertex point
  • a, b, c are constant where a is the leading coefficient of the function (coefficient of x²) , b is the coefficient of x and c is the y-intercept
  • h=\frac{-b}{2a}
  • k is the value of y when x = h

∵ y = x² + 16x - 7

∵ y = ax² + bx + c

∴ a = 1 , b = 16 , c  = -7

∵ h=\frac{-b}{2a}

∴ h=\frac{-16}{2(1)}

∴ h = -8

To find k substitute y by k and x by -8 in the equation above

∵ k is the value of y when x = h

∵ h = -8

∴ k = (-8)² + 16(-8) - 7 = -71

∵ The vertex form of the quadratic equation is y = a(x - h)² + k

∵ a = 1 , h = -8 , k = -71

∴ y = (1)(x - (-8))² + (-71)

∴ y = (x + 8)² - 71

∵ (h , k) are the coordinates of the vertex point

∵ h = -8 and k = -71

∴ The vertex is (-8 , -71)

The vertex form of the function is y = (x + 8)² - 71

The vertex is (-8 , -71)

Learn more:

You can learn more about quadratic equation in brainly.com/question/9390381

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
Trigonometry Please help.
____ [38]

Tan(angle) = Opposite leg / adjacent leg

Tan(27) = Y / 350

Y = 350 x tan(27)

Y = 178.3 feet.

3 0
3 years ago
Which of the following is the solution to x/5+3=10?<br> 1. 47<br> 2. -1<br> 3. 35<br> 4. -5
Bumek [7]

Answer: number 3, 35

Step-by-step explanation: i promise

4 0
2 years ago
Read 2 more answers
Two boxes contained 155 lb of flour. If you take 20 lb from the first and add it to the second, the first box will contain 12 19
gladu [14]

Answer:

First and second box had 80 and 75 lb flour originally.

Step-by-step explanation:

Let the two boxes contained x lb and y lb of the flour respectively.

Both the boxes contained 155 lb of flour in total.

So the first equation will be,

x + y = 155 --------(1)

If the 20 lb of the flour is taken out then amount of flour in first box = (x - 20) lb

and added to the second box then flour in second box = (y + 20) lb

After the mixing of flour statement says that "the first box will contain \frac{12}{19} of the flour now in the second box."

For this statement equation will be

(x-20)=\frac{12}{19}(y+20)

19(x - 20) = 12(y + 20)

19x - 12y = 380 + 240

19x - 12y = 620 ------(2)

Equation (1) × 12 + equation (2)

12(x + y) + (19x - 12y) = 155×12 + 620

31x = 1860 + 620

31x = 2480

x = \frac{2480}{31}

x = 80 lb

from equation (1)

80 + y = 155

y = 155 - 80

y = 75 lb.

Therefore, first and second boxes had 80 lb and 75 lb of flour originally.

3 0
3 years ago
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