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kompoz [17]
3 years ago
6

Let ​h(x)equals​f(g(x)), where f and g are differentiable on their domains. If ​g(9​)equalsnegative 6 and g prime​(9​)equals3​,

what else do you need to know to calculate h prime​(9​)?
Mathematics
1 answer:
artcher [175]3 years ago
3 0

Answer:

Fghb

Step-by-step explanation:

was my time to

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<span>4.23 times 9 equals 38.07 :)</span>
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Read 2 more answers
The spending limit on John's credit card is given by the function f(t) = 15,000 + 1.57, where x is his monthly income. 1-13) $60
coldgirl [10]
1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"

means that if the monthly income of John is $ 5,000 ,he can spend at most

f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)

Or for example

if Johns monthly income is $8,000, then he can spend at most

f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)


2.
Now, assume that the maximum amount that John can spend is y.

Then, y=15,000+1.5x

we can express x, the monthly income, in terms of y by isolating x:

y=15,000+1.5x

1.5x = y-15,000
X=y-15,000/1.5

thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:

G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.

3.

If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000

dollars.


Answer: $ 30,000

Remark: g is called the inverse function of f, since it undoes what f does.

instead of g(x), we could use the notation
5 0
3 years ago
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Answer:

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Step-by-step explanation:

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hope this is good  owo

8 0
3 years ago
a boy sold his bike and accessories for $168 if he received 3 times as much for the bike as for the accessories how much did he
Veronika [31]
168/4 to get the bike and the accessories to get 42
42x3=126
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3 years ago
How do you find the x value of an angle​
I am Lyosha [343]

Answer:

Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle. If you are working with equilateral triangles, divide 180 by three to find the value of X.

Step-by-step explanation:

I hope this helps you.

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