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oee [108]
3 years ago
12

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

Mathematics
1 answer:
Yakvenalex [24]3 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

#LearnWithBrainly

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The sketch shows the distance three runners travel during a race. Describe what occurs at times A,B,C and D. In what order do th
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Answer:

Notice that the distance is in the y-axis, and the time in the x-axis.

First, let's see what happens in the four points:

A) You can see that in point A, the steepness of the line increases, this means that the speed of the runner increases in that point.

B) In this point, the runner that increased his/her speed in point A crosses the graph of another runner, this means that they are at the same distance to the end and at the same time.

C) In this point again two runners are at the same distance and the same time, and we also can see that the runer that increased his/her speed at point A, now has reached the end of the race (because his line stops increasing, wich means that he/she already finished the race)

D) The las runner finishes the race at point D.

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The last runner is the one that finished at point D,

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6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%281-x%5E%7B2%7D%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%20-x%5E%7B2%7D%20%281-x%5E%7B2%7D%
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Step-by-step explanation:

Hi, Hope this will help:)

6 0
3 years ago
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