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Goshia [24]
3 years ago
15

Use the function to evaluate the indicated expressions and simplify.

Mathematics
1 answer:
Musya8 [376]3 years ago
6 0

9514 1404 393

Answer:

  • f(x²) = x² +5
  • (f(x))² = x² +10x +25

Step-by-step explanation:

Put the argument in place of x and evaluate the desired expression.

__

1. f(x²) = x² + 5 . . . . . . straight substitution for x

__

2. (f(x))² = (x +5)²

  = (x +5)(x +5) = x(x +5) +5(x +5) = x² +5x +5x +25

  (f(x))² = x² +10x +25

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Please solve and explain steps for this problem.
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Read 2 more answers
Tell whether the sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive
navik [9.2K]

Answer:

The explicit formula

a_n = 3 +0.25 (n-1)

The recursive formula

a_1 = 3                            for n=1

a_n = a_ {(n-1)} +0.25     if n>1

Step-by-step explanation:

If a sequence is arithmetical then the difference between any of its consecutive terms will be constant

3, 3.25, 3.5, 3.75,

3.25-3 = 0.25\\\\3.5-3.25 = 0.25\\\\3.75 -3.5 = 0.25

The difference between the consecutive terms remains constant so the sequence is arithmetic.

The explicit formula for an arithmetic sequence is:

a_n = a_1 + d (n-1)

Where d is the constant difference between the terms.

d = 0.25

a_1 is the first term of the sequence.

a_1 = 3

So

a_n = 3 +0.25 (n-1)

Finally, the recursive formula is:

a_1 = 3\\\\a_n = a_ {(n-1)} +0.25

8 0
3 years ago
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