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3 years ago

6

If f(x) is an antiderivative of g(x), and g(x) is an antiderivative of h(x), then

1 answer:

Goryan [66]3 years ago

7 0

If f(x) is an anti-derivative of g(x), then g(x) is the derivative of f(x). Similarly, if g(x) is the anti-derivative of h(x), then h(x) must be the derivative of g(x). Therefore, h(x) must be the second derivative of f(x); this is the same as choice A.

I hope this helps.

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Analyze the graph below and complete the instructions as follows.

zhannawk [14.2K]

Answer:

Option A:

x^2 + (y - 2)^2 = 9

Step-by-step explanation:

We know that the equation for a circle centered in the point (a, b) and of radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

So the first thing we need to find is the center of the circle.

We can see that the center is at:

x = 0

y = 2

Then the center is at the point (0, 2)

Now we want our circle to pass through point 2, located at a distance of 2 units from the radius of the first circle.

So the distance between the center and point 2 is 2 units plus the radius of the smaller circle:

And the radius of the smaller circle is one unit.

Then, the radius of a circle centered at (0, 2) that passes through point 2 is:

R = 1 + 2 = 3

Then we have a circle centered at (0, 2) and of radius R = 3

Replacing these in the equation for a circle we get:

(x - 0)^2 + (y - 2)^2 = 3^2

x^2 + (y - 2)^2 = 9

The correct option is A

5 0

3 years ago

What expression is equivalent to -9(-5z-2)-7

trapecia [35]

Answer: 45z + 11

Explanation:

-9(-5z - 2) - 7
= 45z + 18 - 7
= 45z + 11

4 0

3 years ago

Please help. Not sure how to do this one

Sladkaya [172]

The correct answer is: Option 3: $(hofog)(x)=\frac{x-14}{x+4}$

Step-by-step explanation:

Given

$f(x)=\frac{x-6}{x}\\g(x)=x+4\\h(x)=3x-2$

We have to find

$(hofog)(x)$

This will be equal to:

$h(f(g(x)))$

So we have to find the composition of (fog)(x) first

$(fog)(x) = f(g(x))\\=\frac{x+4-6}{x+4}\\=\frac{x-2}{x+4}$

Now,

$(hofog)(x)=h(f(g(x)))\\=3(\frac{x-2}{x+4})-2\\=\frac{3x-6}{x+4}-2\\=\frac{3x-6-2(x+4)}{x+4}\\=\frac{3x-6-2x-8}{x+4}\\=\frac{x-14}{x+4}$

The correct answer is: Option 3: $(hofog)(x)=\frac{x-14}{x+4}$

Keywords: Composition, Functions

Learn more about function composition at:

#LearnwithBrainly

8 0

3 years ago

A typical human stomach can hold up to 4 cups of food. Write an inequality to represent how many cups of food a stomach can hold

Ede4ka [16]

5cups \= 4 cups

5 represents the amount of food held in the stomach and 4 represents the amount of food that can be held in the stomach

7 0

3 years ago

Which of the following relations is a function?

Anon25 [30]

Answer:

D.(5,1),(-5,4),(2,1),(5,2)

6 0

3 years ago

Read 2 more answers