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Vinil7 [7]
2 years ago
6

Let f(x) = x2 - 5 and g(x) = 3x2. Find g(f(x))

Mathematics
1 answer:
m_a_m_a [10]2 years ago
3 0

Answer:

Step-by-step explanation:

to find composite function:

put the inner funtion into the outer function

inner func.=x^2-5

outer= 3x^2

hence,

g(f(x))= 3(x^2-5)^2

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Given the explicit expression f (n) = 5n - 2, write a set showing the sequence, and write a recursive expression.
denpristay [2]

Answer:

f(n) = 5 + f(n - 1)

Step-by-step explanation:

Given

f(n) = 5n - 2

Required

Write a recursive expression

f(n) = 5n - 2

When n = 1

f(1) = 5 * 1 - 2 = 5 - 2 = 3

f(1) = 3

When n = 2

f(2) = 5 * 2 - 2 = 10 - 2 = 8

f(2) = 8 can be rewritten as

f(2) = 5 + 3

Substitute 3 for f(1)

f(2) = 5 + f(1)

Express 1 as 2 - 1

f(2) = 5 + f(2-1) ----- (1)

When n = 3

f(3) = 5 * 3 - 2 = 15 - 2 = 13

f(3) = 13 can be rewritten as

f(3) = 5 + 8

Substitute 8 for f(2)

f(3) = 5 + f(2)

Express 2 as 3 - 1

f(3) = 5 + f(3 - 1)  ------ (2)

Write out (1) and (2)

f(2) = 5 + f(2-1)

f(3) = 5 + f(3 - 1)

Replace 2 and 3 with n in both cases; This gives

f(n) = 5 + f(n - 1)

Hence;

The recursive is f(n) = 5 + f(n - 1)

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3 years ago
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It will be 33/74
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If the flea starts at 1 and jumps 4 units to the left, where does it ends up? How far away from 0 is this?
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Answer:23

Step-by-step explanation:

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What formula can I write?
defon

Answer:

Arithmetic sequence

f(n) = 5n + 2

Step-by-step explanation:

f(1) = 7

f(2) = 7 + 5

f(3) = 7 + 5 + 5 = 7 + (2)(5)

f(n) = 7 + (n-1)(5)

f(n) = 7 + 5n - 5

f(n) = 5n + 2

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3 years ago
What is the perimeter of the basement floor?
elena55 [62]
All you do is add up the sides of the walls, and you get your answer.

<3.

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