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Ymorist [56]
3 years ago
14

Consider function f. f(x) = sqrt 7x- 21

Mathematics
2 answers:
Arada [10]3 years ago
6 0

Answer:

f^-1(x) = (x² + 21)/7

Step-by-step explanation:

Since f(x) = y = √(7x – 21), to find the inverse of f(x) we have to write x in terms of y in order to make x the dependent variable and y the independent variable. The steps involved are:

Step 1: square both sides of the equation, y = √(7x – 21). Doing that, we have:

y² = 7x – 21

Step 2: Add 21 to both sides of the resulting equation. Doing that, we have:

y² + 21 = 7x

Step 3: Divide both sides of the equation by 7. Doing that we have:

x = (y² + 21)/7

Step 4: Replace x with f^-1(x) and y with x. Doing that, we have:

f^-1(x) = (x² + 21)/7

kipiarov [429]3 years ago
4 0

Answer:look at explanation

Step-by-step explanation:

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Step-by-step explanation:

Simplifying

(2x + -3)(x + -4) = 0

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Solving

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Solving for variable 'x'.

Factor a trinomial.

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Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying

3 + -2x = 0

Solving

3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -2x = 0 + -3

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Combine like terms: 0 + -3 = -3

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x = 1.5

Simplifying

x = 1.5

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying

4 + -1x = 0

Solving

4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

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Solution

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2 years ago
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The area of a rectangular television screen is 3456 in^2. The width of that screen is 24 inches longer than the length. What is
shutvik [7]
1. The problem says that the television has a rectangular shape. So, the formula for caculate the area of a rectangle is:

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 "A" is the area of the rectangle (A=3456 inches²).
 "L" is the the length of the rectangle.
 "W" is the width of the rectangle.

 2. The <span>width of the screen is 24 inches longer than the length. This can be expressed as below:

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 3. Then, you must substitute </span>W=24+L into the formula A=LxW:
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<span>
 4. The quadratic equation is:

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 W=24+L
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 7. Therefore, the dimensions of the screen are:

 L=48 inches
 W=72 inches<span> </span>
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