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xeze [42]
3 years ago
14

For f (x) = 4 x +1 and g(x) = x^2- 5, find (g/f)(x)

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0

Answer:

The answer is: \frac{x^2-5}{4x+1}

Step-by-step explanation:

We are given: f(x)=4x+1 and g(x) = x^2-5

We need to find (g/f)(x).

Simply divide g(x) and f(x)\\.

Which equates to:

(g/f)(x)= \frac{g(x)}{f(x)} =\frac{x^2-5}{4x+1}

This cannot be simplified further, so it is the answer.

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If you use the slope formula, the answer is m = 2
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Find the area of a triangle bounded by the x-axis the line f(x)=5-5/3x and the line perpendicular to f(x)
viktelen [127]

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answer fx

Step-by-step explanation:

its fx because it works

7 0
2 years ago
The lines below are perpendicular. If
RSB [31]

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Correct answer: s₁ = - 2

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God is with you!!!

5 0
3 years ago
Here's a graph of a linear function. Write the
Softa [21]

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y = 3/2x - 3

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6 0
2 years ago
In an article about the cost of health care, Money magazine reported that a visit to a hospital emergency room for something as
ASHA 777 [7]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Assume a normal distribution :

Mean (m) = 328

Standard deviation (sd) = 92

To obtain Zscore :

Zscore = (x - m) / sd

What is the probability that the cost will be more than $500?

x = $500

Zscore = (500 - 328) / 92 = 172 / 92 = 1.869 = 1.87

1 - p(Z < 1.87) = 1 - 0.9693 = 0.0307

b. What is the probability that the cost will be less than $250?

x = $250

Zscore = (250 - 328) / 92 = - 78 / 92 = - 0.8478 = - 0.85

p(Z < - 0.85) = 0.1977

c. What is the probability that the cost will be between $300 and $400?

x = 300

Zscore = (300 - 328) / 92 = - 28/ 92 = -0.30

p(Z < - 0.3) = 0.3821

x = 400

Zscore = (400 - 328) / 92 = 72/ 92 = 0.783

p(Z < 0.783) = 0.7823

0.7823 - 0.3821 = 0.4002

d. If the cost to a patient is in the lower 8% of charges for this medical service, what was the cost of this patient’s emergency room visit?

Probability is lower 8%

P (Z < Zscore) = 0.08

Zscore of 0.08 corresponds to - 1.41 on the z table

Zscore = (x - m) / sd

-1.41 = (x - 328) / 92

-129.72 = x - 328

-129.72 + 328 = x

x = 198.28

4 0
3 years ago
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