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crimeas [40]
3 years ago
6

Given f(x)=x^2+3 and g(x)=x+5/x. Find (g o f)(4)

Mathematics
1 answer:
arlik [135]3 years ago
3 0
To find g(f(4)), work from the inside out.

f(4) is 4^2+3, or 16+3, or 19.  Now, we must find g(19).

This is 19+5/19.  This is already a mixed number, though if you want an improper fraction solution, we have:

361/19+5/19

Which simplifies to:

366/19

Therefore, 366/19 is the answer.
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Step-by-step explanation:

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2 years ago
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Put these numbers in descending order 0.2 0.92 0.387 0.479
ozzi

0.92 , 0.479 , 0.387 , 0.2

[See the last first digit after the decimal. I chose 0.92 since 9 is the greater than 2,3 and 4]

7 0
3 years ago
Point T has coordinates (10,20). To calculate the coordinates of point T′ in the image,
Hatshy [7]

Answer: T'(18,36)

Step-by-step explanation:

For this exercise it is important to know the definition of "Dilation".

 A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape but have different sizes.

If the Dilation is centered at the origin, and knowing the scale factor of \frac{9}{5}, you need to multiply each coordinate of the point T by the scale factor in order to find the coordinates of the Image T'.

Knowing that the point T has the following coordinates:

T(10,20)

You get that the coordinates of the Image T' are the shown below:

T'=(\frac{9}{5}*10,\frac{9}{5}*20)\\\\T'=(18,36)

6 0
3 years ago
0.36 as a standard form
NemiM [27]

Answer:

<h3>0.36 x 10⁰</h3>

Step-by-step explanation:

4 0
3 years ago
Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. Given = 6"
Svetllana [295]
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- than we drawn the height from the right angle on hypotenuse and use sin45 we get 
but we need to know that 6" = 6*2,6 = 15,6 cm = 0,156 m
cos 45° = (half of hypotenuse)/6"

sqrt2 /2 = (half of hyp) /6"

half of hyp. = 6"sqrt2 /2 = 3sqrt2" so than the length of hypotenuse will be 

equal 2*3sqrt2 = (6sqrt2)"
6 0
3 years ago
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