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Mars2501 [29]
3 years ago
15

Consider the functions f(x) = 2x - 3 and g(x) = 6 + 8/x. Solve for f(g(4))

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
5 0

Answer:

13

Step-by-step explanation:

Given the equations f(x) = 2x - 3 and g(x) = 6 + 8/x.

We want to find f(g(4))

Essentially, what we are doing, is plugging in 4 into x for g(x) and the outcome of that is what we plug into x for f(x)

So first lets plug in 4 into x for g(x)

g(x) = 6 + 8/x.

We want to find g(4)

g(4) = 6 + 8/4

First divide 8 by 4

g(4) = 6 + 2

Then add 6 and 2

g(4) = 8

Now that we have found g(4) we want to plug the value of g(4), so 8 into f(x)

f(x) = 2x - 3

we want to find f(8)

f(8) = 2(8) - 3

* multiply 2 and 8 *

f(8) = 16 - 3

* subtract 3 from 16 *

f(8) = 13

and we are done!

So we can conclude that f(g(4)) = 13

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1) Rectangle: Right
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4 0
3 years ago
Jose can read 7 pages of his book in 5 minutes. At this rate, how long will it take him to read the entire 175 page book?
Vesnalui [34]
175/7=25
25x5=125 the answer is 125
5 0
3 years ago
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What is the answer to 28-32x=92
Serga [27]

Answer:

-2 ~ brainliest please?

Step-by-step explanation:

-32x=64

32x=-64

x=-2

4 0
3 years ago
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Using the diagram on the right, find the length of GT and TA.
Art [367]

Answer:

GT=10\ units  and TA=6\ units

Step-by-step explanation:

we know that

In the diagram

Triangles GRT and GEA are similar by AA Similarity Postulate

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

so

\frac{GR}{GE}=\frac{GT}{GA}

we have

GR=5\ units

GE=5+3=8\ units

GT=16-x\ units

GA=16\ units

substitute

\frac{5}{8}=\frac{16-x}{16}\\ \\5*16=8*(16-x)\\ \\80=128-8x\\ \\8x=128-80\\ \\x=48/8\\ \\x=6\ units

therefore

GT=16-x=16-6=10\ units

TA=x=6\ units

5 0
3 years ago
BRAINLIEST ANSWER!! ASAP<br><br> 3(x+1)+6=-9<br> PLEASE EXPLAIN HOW YOU GOT THE ANSWER
Kryger [21]

Answer:

x=-6

Step-by-step explanation:

use distributive property on the () and times x and 1 by three

then you subtract 6 from both sides

then subtract three from both sides

then divide both sides by 3

your work would look like this:

3(x+1)+6=-9

3x+3+6=-9

3x+3=-15

3x=-18

x=-6

Hope this helps!

8 0
3 years ago
Read 2 more answers
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