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Fynjy0 [20]
3 years ago
14

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

Mathematics
2 answers:
Harrizon [31]3 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]3 years ago
3 0

Answer:

e fedge cd

Step-by-step explanation:

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Find the next two terms of the following sequence: 14,38,74,122,182,254
Roman55 [17]

ANSWER

The next two terms are

338, 434

EXPLANATION

The given sequence is 14,38,74,122,182,254

Let us observe some pattern and use it to find the next two terms.

14+24=38

38+36=74

74+48=122

122+60=182

182+72=254

To get the next term we add 84 to 254

254+84=338

To get the next term,we add 96 to 338

338+96=434

8 0
3 years ago
Simplify the expression by arranging the steps in sequence, based on the order of operations.
lubasha [3.4K]

Answer:

\displaystyle 6x - 5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{1}{6}(30x + 24) - \frac{1}{7}(63 - 7x)<u />

<u />

<u>Step 2: Simplify</u>

  1. Distribute:                           \displaystyle \frac{1}{6}(30x) + \frac{1}{6}(24) - \frac{1}{7}(63) - \frac{1}{7}(-7x)
  2. Multiply:                              \displaystyle 5x + 4 - 9 + x
  3. Rearrange:                          \displaystyle 5x + x + 4 - 9
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2 years ago
Find the explicit rule: 2, 6, 18, 54, 162
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Multiply each number by 3.

2 (x 3) is 6. 6 x 3 is 18, 18 x 3 is 54, 54 x 3 is 162.

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