Find f(x) and g(x) so the function can be expressed as y = f(g(x)) y = Seven divided by x squared. + 10

Answers

Answer 1
Answer: f(x) = 7/x
g(x)=x²+10

Then f(g(x))= 7/(x²+10)

By the way    g(f(x))=(7/x)² + 10
 
Answer 2
Answer:

Answer:

  • f(x) = (7)/(x^(2) ) + 10
  • g(x) =  (7)/(x^(2) )

Step-by-step explanation:

Given that:

y = f(g(x)) = (7)/(x^(2) ) + 10

It is obviously that g(x) is put as an independent variable of f(x) to have the equation of y written above.

So

  • f(x) = (7)/(x^(2) ) + 10
  • g(x) =  (7)/(x^(2) )

Hope it will find you well.


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What is the solution for the following equation? x^2-6x+9=11

Perform the indicated operation. (2u 2 - 7) ÷ (u + 3)A. 2u - 6 R -11

B. 2u - 6 R 11

C. 2u + 6 R 11

Answers

(2u² - 7) ÷ (u + 3)

2u² + 0u - 7 ÷ u + 3
                    2u - 6
u + 3 I 2u² + 0u - 7
         - 2u² + 6u
             0  -  6u - 7
              +  - 6u - 18
                      0 + 11

Answer is: B. 2u - 6 R 11



1. Raymond is repairing wires on a radio broadcast tower. He is in a basket of the repair truck40m from the tower. When he looks up, he estimates the angle of elevation to the top of the
tower as 42°. When he looks down, he estimates the angle of
depression to the bottom of the tower as 32°. How high is the tower
to the nearest tenth of a metre?

Answers

The required height of the tower is given as 61 meters.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

What are Pythagorean triplets?  

In a right angled triangle, its side, such as hypotenuse, perpendicular and base  is Pythagorean triplets.

here,
To determine the height of the tower,
h = 40 tan 32° + 40 tan 42°
h = 61 m

Thus, the required height of the tower is given as 61 meters.

Learn more about trigonometry equations here:

brainly.com/question/22624805

#SPJ2

Answer:

Step-by-step explanation:

h = 40 tan 32° + 40 tan 42° ≈ 61.0 m

The figure below shows a line graph and two shaded triangles that are similar:Which statement about the slope of the line is true?
It is –2 throughout the line.
It is fraction negative 1 over 2 throughout the line.
The slope from point O to point A is one-half times the slope of the line from point A to point B. The slope from point O to point A is two times the slope of the line from point A to point B.

Answers

Answer:

The slope is fraction negative 1 over 2 throughout the line.

Step-by-step explanation:

The slope (m) of a line is computed as follows

m = (y2 - y1)/(x2 -x1)

where (x1, y1) and (x2, y2) are the coordinates of 2 points of the line. Taking, for example, points (0, 0) and (-4, 2), the slope is:

m = (2 - 0)/(-4 -0)  = -1/2

Then, the slope is -1/2 throughout the line.

Every time the y-value decreases by 1, the x-value increases by 2, so the slope is -1/2 throughout the line.

Which function has the greatest rate of change?A.
14x – 2y = 8

B.
y = 6x – 5

C.
x y
−2 −7
−1 −2
0 3


D.
A linear function that goes through point 1, 3 and point 0, negative 2

Answers

Hello,

Answer A

A: y'=7
B:y'=6
C:y'=5
D:y'=5

Find the missing value of a triangle one leg is 12 and the long side is 20 what is the other leg?

Answers

Simple,

using the Pythagorean Theorem...

a^(2) + b^(2) = c^(2)

You have the hypotenuse (C) and one of the legs (A)

So, plug in what you know...

12^(2)+ b^(2) = 20^(2)

144+b^(2)=400

Now,isolate b^(2)

144+ b^(2) =400
-144                   -144

Leaving you with...

b^(2) =256

So, now, √(256), to find what b is..

b=16

Thus, your answer.
IF this is a 'right' triangle, then we can calculate an answer.
If it's NOT a right triangle, then no answer is possible.

I'm going to assume that it's a right triangle, because you did say
that one 'leg' is 12, and you want the length of the other 'leg'.   It's
common to refer to the two short sides of a right triangle as 'legs'.

In "Tales of Pythagoras", we learned that in a right triangle ...

                                            (Longest side)² = (one leg)²  +  (the other leg)²

In your triangle ...

                                               (20)²              =  (12)²  +  (the other leg)²

                                              (400)               =  (144) +  (the other leg)²

Subtract 144 from each side:  (The other leg)²  =  (400 - 144) = 256

                                             The other leg     =   √256  =  16

Which expression is equivalent to x^4-y^4?

Answers

x^4-y^4=(x^2)^2-(y^2)^2=(x^2-y^2)(x^2+y^2)\n\n=(x-y)(x+y)(x^2+y^2)\n\n\n\na^2-b^2=(a-b)(a+b)
x^4-y^4=(x^2)^2-(y^2)^2=(x^2-y^2)(x^2+y^2)=(x-y)(x+y)(x^2+y^2)