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2 years ago

Given F(x)=1/x-4, g(x)=1/6-x. Find f+g(x).

Mathematics

1 answer:

Yakvenalex [24]2 years ago

3 0

$\boxed{f(x)+g(x)=\frac{1}{x}-x-\frac{23}{6}}$

<h2>Explanation:</h2>

We are given two functions:

$f(x)=\frac{1}{4}x-4 \\ \\ g(x)=\frac{1}{6}-x$

So, we have to find $f(x)+g(x)$ which is the sum of these two functions:

$f(x)+g(x)=\frac{1}{x}-4+\frac{1}{6}-x \\ \\ \\ Let's \ call \ h(x)=f(x)+g(x) \\ \\ Simplifying: \\ \\ h(x)=\left(\frac{1}{x}-x)+(-4+\frac{1}{6}) \\ \\ \\ \\$

$Finally: \\ \\ \boxed{f(x)+g(x)=\frac{1}{x}-x-\frac{23}{6}}$

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

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1 year ago

Tara had $350 in her bank account she received three birthday checks for $35 each and but bought two new video games for $41 eac

goldfiish [28.3K]

We conclude that the final amount that she has in her bank account is $375.

<h3>How much has Tara in her bank account now?</h3>

Here we need to perform some additions and subtractions. We know that Tara starts with $350 in her account.

Then she received 3 checks for $35 each, so at this point she has:

$350 + 3*$35 = $455

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$455 - 2*$41 = $375

We conclude that the final amount that she has in her bank account is $375.

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1 year ago

a box cost $2.48, but it is on sale for $1.49. How much do you save on one box when bought on sale? Now how much would you save

Thepotemich [5.8K]

Answer:

1. $0.99

2. $1.98

Step-by-step explanation:

1. From the question we have

Cost of box = $2.48

Selling price = $1.49

That is the box is discounted from $2.48 to $1.49

Therefore, amount saved = $2.48 - $1.49 = $0.99

2. The amount saved from buying a second box is hence;

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Hence, as the number of boxes bought increases, the amount saved increases

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2 years ago

Read 2 more answers

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a) The equation represents an ellipse.

b) The equation represents a circle.

c) The equation represents a parabola.

<h3>How to infer the graphical form of a general equation</h3>

In this problem we have <em>general</em> equations of the form A · x² + B · y² + C · x + D · y + E = 0, which have to be modified into <em>standard</em> form to infer its <em>graphical</em> form. This procedure can be done by <em>algebra</em> properties:

16 · x² + 4 · y² + 96 · x - 8 · y + 84 = 0

[(4 · x)² + 2 · 12 · (4 · x)] + [(2 · y)² - 2 · 2 · (2 · y)] = - 84

[(4 · x)² + 2 · 12 · (4 · x) + 144] + [(2 · y)² - 2 · 2 · (2 · y) + 4] = 64

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x² + y² + 8 · x - 6 · y - 15 = 0

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6 months ago

What is the angular size of Mars, as seen from the Earth, when it was closest to the Earth?

lesantik [10]

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<h3>What is angular size?</h3>

It should be noted that angular size is the object's apparent size as seen from an observer on Earth.

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