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Simora [160]
1 year ago
11

Given the function f(x)=2x-1 Evaluate: a) 2f(x) b) f(2x)​

Mathematics
1 answer:
Dmitrij [34]1 year ago
3 0

Answer:

a) 2f(x) = 4x - 2

b) f(2x) = 4x - 1

Explanation:

Given function:

  • f(x) = 2x - 1

a) 2f(x)

2f(x) = 2(2x - 1)

       = 4x - 2

b) f(2x)

f(2x) = 2(2x) - 1

       = 4x - 1

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Given the rational function f(x)=2x+6/x-3, Answer the following questions.
AysviL [449]

Answer:

  1. A rational function is any function which can be written as the ratio of two polynomial functions, where the polynomial in the denominator is not equal to zero. The domain of f(x)=P(x)Q(x) f ( x ) = P ( x ) Q ( x ) is the set of all points x for which the denominator Q(x) is not zero
  2. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y
  3. The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.
  4. In mathematics, a zero of a real-, complex-, or generally vector-valued function f, is a member x of the domain of f such that f(x) vanishes at x; that is, the function f attains the value of 0 at x, or equivalently, x is the solution to the equation f(x) = 0.

refer this attachment for 1st question ( given the rational function f(x)=2x+6/x-3, Answer the following questions. )

8 0
2 years ago
Find the least common denominator of these two fractions. LOTO and 1/ 5 The least common denominator is [?]​
Oksana_A [137]

Answer:

6yx

Step-by-step explanation:

This number will be your least common denominator (LCD). Divide the LCD by the original denominator. To determine the multiple needed to make the denominators equal, divide the LCD you determined by the original denominator. Multiply the numerator and the denominator of each fraction by this number.

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Olivia is thinking of a number.She says, "My number is odd. It is a factor of 30 and a multiple of 3"
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Answer:

15

Step-by-step explanation:

Factors of 30:

1 , 2, 3, 5, 6, 10, 15, 30

Multiples of 3:

3, 6, 9, 12, 15, etc.

The first number (and only number) shared by both sets is 15, therefore 15 is your answer.

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3 years ago
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A tank can hold 300 cm^3 of water. How much would Tim have to pay If he has to fill 12 such tanks with water at 25 cents per cm^
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What class is this for?
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3 years ago
The three lines given below form a triangle. Find the coordinates of the vertices of the triangle.
LenKa [72]

Answer:

  • (3, 5), (1, 2) and (5, 1)

Step-by-step explanation:

Make three systems with pairs of lines and solve them to work out the vertices.

1) <u>Line 1 and line 2</u>

  • -3x + 2y = 1
  • 2x + y = 11

<u>Double the second equation and subtract equations:</u>

  • -3x + 2y - 2(2x + y) = 1 - 2(11)
  • -3x - 4x = 1 - 22
  • -7x = - 21
  • x = 3

<u>Find y:</u>

  • 2*3 + y = 11
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  • y = 11 - 6
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The point is (3, 5)

2) <u>Line 1 and line 3</u>

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<u>Triple the second equation and add up equations:</u>

  • -3x + 2y + 3(x + 4y) = 1 + 3(9)
  • 2y + 12y = 1 + 27
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  • y = 2

<u>Find x:</u>

  • x + 4*2 = 9
  • x + 8 = 9
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The point is (1, 2)

3) <u>Line 2 and line 3</u>

  • 2x + y = 11
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<u>Double the second equation and subtract the equations:</u>

  • 2x + y - 2(x + 4y) = 11 - 2(9)
  • y - 8y = 11 - 18
  • - 7y = - 7
  • y = 1

<u>Find x:</u>

  • x + 4*1 = 9
  • x + 4 = 9
  • x = 5

The point is (5, 1)

8 0
2 years ago
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