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Natalija [7]
2 years ago
14

What is f(5) if f(1) = 3. 2 and f(x 1) = Five-halves(f(x))?

Mathematics
2 answers:
stealth61 [152]2 years ago
8 0

Function assign value from one set to another. The value of f(5), if f(1) = 3.2 and f(x+1) = Five-halves(f(x)) is 125.

<h3>What is Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

As it is given the value of the function f(1) is 3.2, while the value of f(x+1) is f(x+1) = \dfrac{5}{2}[f(x)], therefore, in order to find the value of f(5), we need to calculate the value of f(4).

f(2)

f(x+1) = \dfrac{5}{2}[f(x)]\\\\f(2)=f(1+1) = \dfrac{5}{2}[f(1)]\\\\f(2) = 2.5 \times 3.2\\\\f(2) = 8

f(3)

f(x+1) = \dfrac{5}{2}[f(x)]\\\\f(3)=f(2+1) = \dfrac{5}{2}[f(2)]\\\\f(3) = 2.5 \times 8\\\\f(3) = 20

f(4)

f(x+1) = \dfrac{5}{2}[f(x)]\\\\f(4)=f(3+1) = \dfrac{5}{2}[f(3)]\\\\f(4) = 2.5 \times 20\\\\f(4) = 50

f(5)

f(x+1) = \dfrac{5}{2}[f(x)]\\\\f(5)=f(4+1) = \dfrac{5}{2}[f(4)]\\\\f(5) = 2.5 \times 50\\\\f(5) = 125

Hence, the value of f(5), if f(1) = 3. 2 and f(x+1) = Five-halves(f(x)) is 125.

Learn more about Function:

brainly.com/question/5245372

Zepler [3.9K]2 years ago
6 0

Answer:

Its 125

Step-by-step explanation:

got it right on ed

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Espero que te sea de utilidad!

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