All categories

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

You might be interested in

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

AlekseyPX

The answer would be number 1. 173 units^2

7 0

2 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:

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

$\theta \approx \pi \,rad + 0.108\pi \,rad$

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

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.

5 0

2 years ago

The ordered pairs below represent a relation between x and y.(-3,1), (-2,3), (-1,5), (0,7), (1,9), (2,11)Could this set of order

Liula [17]

Yes because its like x cant cheat on y but y can cheat on x so basically your answer is yes and if you need anything else let me know

8 0

3 years ago

Read 2 more answers

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

alexira [117]

Answer: 105.3 m

Step-by-step explanation:

Given

Applied force is $F=1.12\times 10^4\ N$

Work done is $W=1.18\times 10^6\ J$

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

$\Rightarrow W=F\cdot s\\\Rightarrow 1.18\times 10^6=1.12\times 10^4\cdot s\\\\\Rightarrow s=1.05\times 10^2\\\Rightarrow s=105.3\ m$

4 0

2 years ago

Read 2 more answers

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

f(x) = $\sqrt{2} [ cos(45)sin(x)+sin(45)cos(x)]\\\\= \sqrt{2} [sin(45+x)]..........(b)$

Now we know that for derivative with respect to dependent variable is positive for an increasing function

Differentiating b on both sides with respect to x we get

f '(x) = $f '(x)=\sqrt{2} \frac{dsin(45+x)}{dx}\\ \\f'(x)=\sqrt{2} cos(45+x)\\\\f'(x)>0=>\sqrt{2} cos(45+x)>0$

where x∈(0,2π)

we know that cox(x) > 0 for x∈[0,π/2]∪[3π/2,2π]

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)

5 0

2 years ago