All categories

4 years ago

D. Evaluate each of the following. (5 points)

Mathematics

2 answers:

Harrizon [31]4 years ago

4 0

Problem 1

f(x) = x + 1/x

f(1) = 1 + 1/1

f(1) = 1 + 1

f(1) = 2

Answer: 2

============================================

Problem 2

(f o f)(1) = f( f(1) )

(f o f)(1) = f( 2 )

(f o f)(1) = 2 + 1/2

(f o f)(1) = 4/2 + 1/2

(f o f)(1) = 5/2

Answer: 5/2

============================================

Problem 3

(f o f o f)(1) = f( f(f(1)) )

(f o f o f)(1) = f( (f o f)(1) )

(f o f o f)(1) = f( 5/2 )

(f o f o f)(1) = 5/2 + 1/(5/2)

(f o f o f)(1) = 5/2 + 2/5

(f o f o f)(1) = 25/10 + 4/10

(f o f o f)(1) = 29/10

Answer: 29/10

============================================

Problem 4

(f o f o f o f)(1) = f( f(f(f(1)) )

(f o f o f o f)(1) = f( (f o f o f)(1) )

(f o f o f o f)(1) = f( 29/10 )

(f o f o f o f)(1) = 29/10 + 1/(29/10)

(f o f o f o f)(1) = 29/10 + 10/29

(f o f o f o f)(1) = 841/290 + 100/290

(f o f o f o f)(1) = 941/290

Answer: 941/290

============================================

Problem 5

(f o f o f o f o f)(1) = f( f(f(f(f(1)))) )

(f o f o f o f o f)(1) = f( (f o f o f o f)(1) )

(f o f o f o f o f)(1) = f( 941/290 )

(f o f o f o f o f)(1) = 941/290 + 1/(941/290)

(f o f o f o f o f)(1) = 941/290 + 290/941

(f o f o f o f o f)(1) = 885481/272890 + 84100/272890

(f o f o f o f o f)(1) = 969581/272890

Answer: 969581/272890

Sedaia [141]4 years ago

3 0

Answer:

e fedge cd

Step-by-step explanation:

You might be interested in

4^2+4^6 solve this please

Georgia [21]

Answer:

$4,112$

Step-by-step explanation:

$4^2 =16$

$4^6=4096$

$4096+16=4112$

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

− $xXheyoXx$

8 0

2 years ago

PLEASE HELP FAST! What is the value of x? 6 8 10 12

Novosadov [1.4K]

Answer:

x = 8

Step-by-step explanation:

The sum of the exterior angles is 360 degrees

12x+62+ 66+ 77+59 = 360

Combine like terms

12x+264 = 360

Subtract 264 from each side

12x+264-264 = 360-264

12x =96

Divide by 12

12x/12 = 96/12

x=8

5 0

3 years ago

Which values are areas of cross sections that are parallel to a face of this right rectangular prism?

mafiozo [28]

Answer:

A = 24

Step-by-step explanation:

We can see that the face of the given rectangular prism shows the width 4 and the height of 6. If we cut the figure at any point along the length 20, such that the cross section is parallel to the face, the cross section, which occurs at x length, will always have the same dimensions, that are 4 and 6.

So the area of the cross section which is parallel to the face of the given rectangular prism is given by:

A = 6 × 4

A = 24

8 0

3 years ago

1.Parallelogram ACFD is split in two parts so that ABED and FEBC are congruent isosceles trapezoids. What are the measures of al

DiKsa [7]

Refer to the diagram shown below.

Because ACFD is a parallelogram, its opposite angles are equal. Therefore
x = m∠ACF = m∠BCF = 48°
Similarly,
y = m∠CAD = m∠CFD

The sum of the angles inside a parallelogram is 360°. Therefore
48° + x + y + y = 360°
Because x = 48°,
48° + 48° + 2y = 360°
2y = 360° - 96° = 264°
y = 132°

Because ABED and FEBC are congruent, therefore
y = m∠DAB = m∠CFE = 132°
x = m∠ADE = m∠FCB = 48°

Because FEBC is a parallelogram, the opposite angles are equal. Therefore
m∠CBE = m∠CFE = y = 132°
m∠BCF = m∠BEF = x = 48°

Answer:
The measures of all angles of trapezoid FEBC are
m∠BCF = 48°
m∠BEF = 48°
m∠CBE = 132°
m∠CFE = 132°

7 0

4 years ago

What is X: 3x−22=44 5/6 = 10/2x−3

Rom4ik [11]

Answer:

x = 22

x = 4,6

Step-by-step explanation:

3x - 22 = 44

3x = 44 + 22

3x = 66

x = 66/3

x = 22

5/6 = 10/2x - 3

5/6 + 3 = 10/2x

5/6 + 18/6 = 10/2x

23/6 = 10/2x

23/6 * 2 = 10x

46 = 10x

x = 46/10

x = 4,6

5 0

3 years ago