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Ad libitum [116K]
2 years ago
13

Precalc help needed, find g ° f!

Mathematics
1 answer:
Nezavi [6.7K]2 years ago
8 0

Answer:

g o f = -[f(x)]² + 3 = -(|x|)² + 3 = -x² + 3 = g(x)

Step-by-step explanation:

g o f = g [ f(x) ]

This means replace the x of g(x) with f(x):

g o f = -[f(x)]² + 3 = -(|x|)² + 3

As x² ≥ 0 for any value of x (whether it be positive or negative), then -(|x|)² + 3 = -x² + 3 = g(x)

So g o f = g(x)

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3 years ago
Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2^x=1-3^x
Greeley [361]

Answer:

Option (1)

Step-by-step explanation:

Given equation is,

2^x=1-3^x

To determine the solution of the equation we will substitute the values of 'x' given in the options,

Option (1)

For x = -0.75

2^{-0.75}=1-3^{-0.75}

0.59 = 1 - 0.44

0.59 = 0.56

Since, values on both the sides are approximately same.

Therefore, x = -0.75 will be the answer.

Option (2)

For x = -1.25

2^{-1.25}=1-3^{-1.25}

0.42 = 1 - 0.25

0.42 = 0.75

Which is not true.

Therefore, x = -1.25 is not the answer.

Option (3)

For x = 0.75

2^{0.75}=1-3^{0.75}

1.68 = 1 - 2.28

1.68 = -1.28

Which is not true.

Therefore, x = 0.75 is not the answer.

Option (4)

For x = 1.25

2^{1.25}=1-3^{1.25}

2.38 = 1 - 3.95

2.38 = -2.95

It's not true.

Therefore, x = 1.25 is not the answer.

6 0
3 years ago
Can a person live a million days?
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Answer:

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6 0
4 years ago
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3 years ago
The sides of a triangle are in the ratio 3:4:5. What is the length of each side if the perimeter of the
Brut [27]

Answer:

A. 22.5 cm, 30 cm, and 37.5 cm

Step-by-step explanation:

If three sides of a triangle are in the ratio 3:4:5, then the lengths of the sides are 3x cm, 4x cm and 5x cm.

The preimeter of the triangle is the sum of the lengths of all sides, thus

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So, the lengths of the triangle's sides are

3x=3\cdot 7.5=22.5\ cm\\ \\4x=4\cdot 7.5=30\ cm\\ \\5x=5\cdot 7.5=37.5\ cm

6 0
3 years ago
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