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IRISSAK [1]
3 years ago
15

For f(x) = 2x + 1 and g(x) = x2 - 7, find (f - g)(x).

Mathematics
2 answers:
Lyrx [107]3 years ago
8 0

Answer:

Option A

- x² + 2x - 6

Step-by-step explanation:

Here,

f(x) = 2x + 1

g(x) = x² - 7

Now,

(f - g)(x)

= f(x) - g(x)

= 2x + 1 - x² - 7

= 2x - x² - 7 + 1

= 2x - x² - 6

= - x² + 2x - 6

Thus, (f - g)(x) = - x² + 2x - 6

<u>-TheUnknownScientist</u>

kakasveta [241]3 years ago
5 0

Step-by-step explanation:

f(x)=2x+1

g(x)=2x-7

now,

  • f-g(x)=f(x)-g(x)
  • 2x+1-2x+7
  • 8

(f-g)(x)=8

hope it helps.

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bezimeni [28]

Answer:

  • $2133.33

Step-by-step explanation:

<u>Given:</u>

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Lets the total amount of tabs = t

<u>We have inequality:</u>

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5 0
3 years ago
Identify the property or rule shown by each equation. 9 divided 1 =9 and 33 times 1 =33
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identity property=something times one
5 0
3 years ago
5. Find the value(s) of x so that the line containing the points (2x + 3, x + 2) and (0, 2) is
Dvinal [7]

Answer:

  x = -2 or -9

Step-by-step explanation:

You want the values of x such that the line defined by the two points (2x+3, x+2) and (0, 2) is perpendicular to the line defined by the two points (x+2, -3-3x) and (8, -1).

<h3>Slope</h3>

The slope of a line is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

Using the formula, the slopes of the two lines are ...

  m1 = (2 -(x+2))/(0 -(2x+3)) = (-x)/(-2x-3) = x/(2x +3)

and

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<h3>Perpendicular lines</h3>

The slopes of perpendicular lines have product of -1:

  \dfrac{x}{2x+3}\cdot\dfrac{2+3x}{6-x}=-1\\\\x(3x+2)=(2x+3)(x-6)\qquad\text{multiply by $(2x+3)(6-x)$}\\\\3x^2+2x=2x^2-9x-18\qquad\text{eliminate parentheses}\\\\x^2+11x+18=0\qquad\text{put in standard form}\\\\(x+2)(x+9)=0\qquad\text{factor}

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4 0
1 year ago
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asambeis [7]

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- up till 200 A.D i.e 200 years of After Christ disappearance

Hence, the number of years between the time that Greek city-states began to form and the persecution of Christians began is equal to the sum of years Greek city States started formation and Year persecution began

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