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3 years ago

F(x) = x − 8, g(x) = |x + 8| Find (f ∘ g)(x).

Mathematics

1 answer:

miskamm [114]3 years ago

5 0

Answer:

Step-by-step explanation:

$f(x) = x - 8 \\ \\ g(x) = |x + 8|$

To find (f ∘ g)(x) , substitute g(x) into f(x). That is for every x in f (x) replace it with g (x)

That's

Hope this helps you

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The Figure is made up of 2 rectangels and 2 right triangel's What is the area of the figure?

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3 years ago

Give the radian measure of an angle drawn in standard position that corresponds with the ray containing the coordinate point (−1

Sergeu [11.5K]

Answer:

The radian measure of the angle drawn in standard position that corresponds with the ray containing the coordinate point $(-12, -3\sqrt{2})$ is approximately $1.108\pi$ radians.

Step-by-step explanation:

With respect to origin, the coordinate point belongs to the third quadrant, which comprises the family of angles from $\pi\,rad$ to $\frac{3\pi}{2}\,rad$ . The angle in standard position can be estimated by using the following equivalence:

$\theta = \pi\,rad + \tan^{-1} \left(\frac{3\sqrt{2}}{12} \right)$

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$\theta \approx 1.108\pi\,rad$

The radian measure of the angle drawn in standard position that corresponds with the ray containing the coordinate point $(-12, -3\sqrt{2})$ is approximately $1.108\pi$ radians.

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2 years ago

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3 years ago

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A force of F = 1.12×104 Newtons does work of W = 1.18×106 Joules. What is the approximate displacement in meters (Displacement =

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Answer: 105.3 m

Step-by-step explanation:

Given

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Work done is given by the displacement done by the force.

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2 years ago

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Consider the function on the interval (0, 2π). f(x) = sin x + cos x (a) Find the open intervals on which the function is increas

Annette [7]

Answer:Increasing in x∈(0,π/4)∪(5π/4,2π) decreasing in(π/4,5π/4)

Step-by-step explanation:

given f(x) = sin(x) + cos(x)

f(x) can be rewritten as $\sqrt{2} [\frac{sin(x)}{\sqrt{2} }+\frac{cos(x)}{\sqrt{2} } ]..................(a)\\\\\ \frac{1}{\sqrt{2} } = cos(45) = sin(45)\\\\$

Using these result in equation a we get

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Thus for cos(π/4+x)>0 we should have

1) π/4 + x < π/2 => x<π/4 => x∈[0,π/4]

2) π/4 + x > 3π/2 => x > 5π/4 => x∈[5π/4,2π]

from conditions 1 and 2 we have x∈(0,π/4)∪(5π/4,2π)

Thus the function is decreasing in x∈(π/4,5π/4)

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2 years ago