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VashaNatasha [74]
3 years ago
9

Which of the following is the function of f(x)?

Mathematics
2 answers:
Natasha2012 [34]3 years ago
5 0

Answer:

f(x) = 8(x-3)

Step-by-step explanation:

F^ -1 ( x) = x/8 +3

Let y = x/8+3

To find the inverse

Exchange x and y

x = y/8+3

Solve for y

x-3 = y/8+3-3

x-3 = y/8

Multiply each side by 8

8(x-3) = y/8 * 8

8(x-3) = y

The inverse of the inverse is the function so

f(x) = 8(x-3)

Mamont248 [21]3 years ago
3 0

Answer:

\boxed{f(x) = 8(x-3)}

Step-by-step explanation:

y=\frac{x}{8} +3

Switch variables.

x=\frac{y}{8} +3

Make y as subject.

Subtract 3 from both sides.

x-3=\frac{y}{8}

Multiply both sides by 8.

8(x-3)=y

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The slope of y = 3x - 4 on the interval [2, 5] is 3 and the slope of y = 2x^2-4x - 2 on the interval [2, 5] is 10

<h3>How to determine the slope?</h3>

The interval is given as:

x = 2 to x = 5

The slope is calculated as:

m = \frac{y_2 -y_1}{x_2-x_1}

<u>16. y = 3x - 4</u>

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