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3 years ago

G(x)=(1/x+2) and h(x)=3x domain of g o h

Mathematics

1 answer:

andrey2020 [161]3 years ago

5 0

Answer:

Step-by-step explanation:

( g o h)(x) = g(h(x)) = g(3x) = 1/(3x+2)

( g o h)(x) exisit for 3x+2 ≠ 0

x ≠ -2/3

so the domain is : D = ]-∞:-2/3[ U] -2/3;+∞[

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A shoe store is having a sale on sneakers. You want to buy a pair of sneakers

creativ13 [48]

Answer:

Hi there!

Your answer is:

$78

Step-by-step explanation:

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75+ (.04× 75)

Change 4% into decimal format

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3 years ago

What is the slope of this equation?<br> y = 3x - 4

Rainbow [258]

Answer:

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3 years ago

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Nat2105 [25]

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3 years ago

Read 2 more answers

You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

HELP PLEASE DUE IN 4 MINUTES

Angelina_Jolie [31]

Answer:

475

Step-by-step explanation:

If each represents 100

For carousel, there are 4 whole and a 3/4

Hence,

4(100)+3/4(100)

=475

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2 years ago