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2 years ago

What is the value of f(g(1)

Mathematics

1 answer:

ladessa [460]2 years ago

7 0

Composite functions is a way of substituting one function into another. The value of the composite function f(g(1)) is 1

<h3>Composite functions</h3>

Composite functions is a way of substituting one function into another.

Given the function expressed as:

y = 3√x + 1

g(1) from the mapping is 0

Substitute g(1) = 0 into the given function to have:

f(g(1)) = 3√0 .+ 1

f(g(1)) =0 + 1
f(g(1)) = 1

Hence the value of the composite function f(g(1)) is 1

Learn more on composite function here: brainly.com/question/10687170

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The diagram shows FGH, its medians, centroid P, and the lengths of some of the subsegments. Apply the Centroid Theorem to find o

nadezda [96]

Answer:

Step-by-step explanation:

We will use two properties to solve this problem,

1). Medians of a triangle bisect the sides of a triangle.

2). Centroid of a triangle divides the medians in the ratio of 2 : 1.

Length of FH = 2 × Length of HX

= 2 × 12

FH = 24

PF : PZ = 2 : 1

$\frac{PF}{PZ}=\frac{2}{1}$

$\frac{PF}{4}=\frac{2}{1}$

PF = 8

GX = GP + PX

GP = 9 [Given]

Since, $\frac{GP}{PX}=\frac{2}{1}$

PX = $\frac{9}{2}$ = 4.5

Therefore, GX = 9 + 4.5

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2 years ago

(a): How far does Debra travel per revolution?<br> (b): What is the slope of the graph?

xz_007 [3.2K]

She travels 8 feet per revolution.

The slope is 16/2=8.

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3 years ago

Sanjana jogged uphill for a while at an average speed of 3 miles per hour, then jogged downhill for a while at an average speed

brilliants [131]

Answer:

She jogged uphill for 1.6 miles

Step-by-step explanation:

Given:

Uphill speed = 3 miles per hour

Downhill speed = 8 miles per hour

Total time to cover uphill and downhill = 40 minutes = $\frac{40}{60}$ hours

Average speed = 4 miles per hour

Now,

Let the distance of uphill be 'x'

and downhill distance be 'y'

Time = $\frac{\textup{Distance}}{\textup{Speed}}$

therefore,

$\frac{x}{3}+\frac{y}{8}=\frac{40}{60}$

$\frac{8x+3y}{3\times8}=\frac{2}{3}$

8x + 3y = 16 ...........(1)

also,

Average speed = $\frac{\textup{Total distance}}{\textup{Total time}}$

4 = $\frac{\textup{x+y}}{\frac{40}{60}}$

4 × 40 = 60(x + y)

3x + 3y = 8

3y = 8 - 3x ............(2)

substituting 2 in 1, we get

8x + (8 - 3x) = 16

5x + 8 = 16

5x = 8

x = 1.6 miles

and,

3y = 8 - 3x

3y = 8 - 3(1.6)

3y = 8 - 4.8

y = 1.067 miles

Hence,

She jogged uphill for 1.6 miles

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3 years ago

A total of 629 tickets were sold for the school play. They were either adult tickets or student tickets. There were 71 fewer stu

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Answer:

350 adult tickets were sold.

Step-by-step explanation:

let x = number of adult tickets

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3 years ago

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Kipish [7]

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3 years ago

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