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3 years ago

Let f(x)=x2 and g(x)=x−6. Find (f◦g)(−1).

Mathematics

1 answer:

rewona [7]3 years ago

5 0

Answer:

(f◦g)(−1) = -14

Step-by-step explanation:

First solve for g(x). g(x) = -1 - 6 = -7. Then plug -7 into f(x). f(x) = (-7)(2) = -14

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The perimeter of a rectangle is 30 cm. The width of the rectangle is 7 cm.

kolezko [41]

Answer:

area is 56

Step-by-step explanation:

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3 years ago

1. If a side started out with a side length of 11 and ended with a side length of 71 what is the dilation's scale factor? Write

jeka57 [31]

Regarding dilation, it is found that:

1. The scale factor is of 6.45

2. The scale factor is of 1.4375.

3. the image will be smaller than the pre-image.

<h3>Dilation</h3>

A dilation is one type of transformation that is applied to images, in which the side lengths are multiplied by a constant called scale factor, changing the side lengths of the image.

In item a, the initial length was of 11 and the final length is of 71, hence the multiplier, which is the scale factor, is given as follows:

71/11 = 6.45.

In item b, the initial length was of 16 and the final length was of 23, hence the scale factor is given as follows:

23/16 = 1.4375.

For item 3, the multiplier is a number that is less than 1, meaning that the image is smaller than the pre-image.

More can be learned about dilation at brainly.com/question/3457976

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6 0

1 year ago

The line segment joining the points A(2,1) and B(5,-8) is trisected at the points p and q such that p is nearer to A. If p also

SpyIntel [72]

Answer:

k = -8

Step-by-step explanation:

The location of P is ...

P = (2A+B)/3 = (2·2+5, 2·1-8)/3 = (3, -2)

Putting this point into the equation for the line, we have ...

2(3) -(-2) +k = 0

8 +k = 0

k = -8

3 0

3 years ago

Read 2 more answers

If x2 = 30, what is the value of x?<br> A. ±60 B. ±15 C. ±square root of 30 D.±square root of 15

anygoal [31]

Answer:

C. ±square root of 30

Step-by-step explanation:

Apply the square root function to both sides of the equation:

$\sqrt{x^2}=\sqrt{30}\\\\|x|=\sqrt{30}\\\\x=\pm\sqrt{30}$

_____

The absolute value equation has two solutions. They match choice C.

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3 years ago

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frozen [14]

Answer:

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3 years ago

Let ​f(x)=x2 and ​g(x)=x−6. Find ​(f◦​g)(−1​).

Let f(x)=x2 and g(x)=x−6. Find (f◦g)(−1).