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anyanavicka [17]
3 years ago
12

Inverse function details

Mathematics
1 answer:
Lerok [7]3 years ago
5 0

Step-by-step explanation:

First, replace f(x) with y ⇒ f(x)=6x-19 ⇒ y=6x-19

Then y with x and x with y  ⇒ y=6x-19 ⇒ x=6y-19

Solve the equation from for y:

           x=6y-19

           x+19=6y dividing with 6

           1/6 x +(19/6) = y

Replace y with f−1(x) ⇒ f−1(x)= 1/6 x +(19/6)

hope this helps!

           

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2 years ago
Triangle ABC is reflected across the x-axis, and then across the y-axis. Which rotation is equivalent to this composition of tra
larisa [96]

Answer:

<em>C) 180 degree rotation </em>

Step-by-step explanation:

While reflecting a point, with coordinates as (x, y), over x axis the new co-ordinates become (x, -y)

⇒(x, y) → (x, -y)

While reflecting a point, with coordinates as (x, y), over y axis the new co-ordinates become (-x, y)

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So, when these two operations are combined, they the rule followed is,

⇒(x, y) → (-x, -y)

We also know that while rotating a point, with coordinates as (x, y), 180° the new co-ordinates become (-x, -y)

⇒(x, y) → (-x, -y)

Therefore, reflecting a point over x axis and then over y axis will yield the same result as rotating a point 180°.

8 0
3 years ago
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(08.07 LC)
Simora [160]

Answer:

3, -8 , 11.

Step-by-step explanation:

f(x) = (x - 3)(x + 8)(x - 11)

Finding the zeros:

(x - 3)(x + 8)(x - 11) = 0

x - 3 = 0   gives x = 3.

x + 8 = 0   gives x = -8.

x - 11 = 0 gives x = 11.

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Suppose you earn $7.25 per hour working part-time for a florist.
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Where is the rest for the problem
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3 years ago
Find the distance between the points (4,-8) and (7-10).
Anastaziya [24]

Answer:

\displaystyle d = \sqrt{13}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (4, -8)

Point (7, -10)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [DF]:                     \displaystyle d = \sqrt{(7-4)^2+(-10+8)^2}
  2. (Parenthesis) Subtract/Add:                \displaystyle d = \sqrt{(3)^2+(-2)^2}
  3. [√Radical] Exponents:                         \displaystyle d = \sqrt{9+4}
  4. [√Radical] Add:                                    \displaystyle d = \sqrt{13}
6 0
3 years ago
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