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Read the instructions below and solve.
f(x) = f(x – 2) – f(x – 1), x is a natural number
f(1) = 0, f(2) = 1
What will be the domain of the definition of the function f(x) = 8–xC 5–x for positive values of x?
  • a)
    {1, 2, 3}
  • b)
    {1, 2, 3, 4}
  • c)
    {1, 2, 3, 4, 5}
  • d)
    {1, 2, 3, 4, 5, 6, 7, 8}
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Read the instructions below and solve.f(x) = f(x – 2) – f(...
f(1) = 0, f(2) = 1,
f(3) = f(1) – f(2) = –1
f(4) = f(2) – f(3) = 2
f(5) = f(3) – f(4) = –3
f(6) = f(4) – f(5) = 5
f(7) = f(5) – f(6) = –8
f(8) = f(6) – f(7) = 13
f(9) = f(7) – f(8) = –21
For any nCr, n should be positive and r ≥ 0.
Thus, for positive x, 5 – x ≥ 0
fi x = 1, 2, 3, 4, 5.
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Most Upvoted Answer
Read the instructions below and solve.f(x) = f(x – 2) – f(...
f(1) = 0, f(2) = 1,
f(3) = f(1) – f(2) = –1
f(4) = f(2) – f(3) = 2
f(5) = f(3) – f(4) = –3
f(6) = f(4) – f(5) = 5
f(7) = f(5) – f(6) = –8
f(8) = f(6) – f(7) = 13
f(9) = f(7) – f(8) = –21
For any nCr, n should be positive and r ≥ 0.
Thus, for positive x, 5 – x ≥ 0
fi x = 1, 2, 3, 4, 5.
Free Test
Community Answer
Read the instructions below and solve.f(x) = f(x – 2) – f(...
Domain of the function f(x) = 8xC 5x for positive values of x

Given function: f(x) = 8xC 5x

To find the domain of the function for positive values of x.

Domain of a function is the set of all possible values of x for which the function is defined.

The given function involves multiplication and division of x, so we need to ensure that the function is defined for all positive values of x.

Steps to find the domain:

Step 1: Check if the function is defined for x=1

f(1) = 8(1)C 5(1) = 3, which is defined for x=1

Step 2: Check if the function is defined for x=2

f(2) = 8(2)C 5(2) = 26, which is defined for x=2

Step 3: Check if the function is defined for x=3

f(3) = 8(3)C 5(3) = 129, which is defined for x=3

Step 4: Check if the function is defined for x=4

f(4) = 8(4)C 5(4) = 460, which is defined for x=4

Step 5: Check if the function is defined for x=5

f(5) = 8(5)C 5(5) = 1365, which is defined for x=5

Since the function is defined for all values of x in the set {1, 2, 3, 4, 5}, the domain of the function for positive values of x is {1, 2, 3, 4, 5}.

Therefore, the correct answer is option 'C'.
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Read the instructions below and solve.f(x) = f(x – 2) – f(x – 1), x is a natural numberf(1) = 0, f(2) = 1What will be the domain of the definition of the function f(x) = 8–xC 5–x for positive values of x?a){1, 2, 3}b){1, 2, 3, 4}c){1, 2, 3, 4, 5}d){1, 2, 3, 4, 5, 6, 7, 8}Correct answer is option 'C'. Can you explain this answer?
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Read the instructions below and solve.f(x) = f(x – 2) – f(x – 1), x is a natural numberf(1) = 0, f(2) = 1What will be the domain of the definition of the function f(x) = 8–xC 5–x for positive values of x?a){1, 2, 3}b){1, 2, 3, 4}c){1, 2, 3, 4, 5}d){1, 2, 3, 4, 5, 6, 7, 8}Correct answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Read the instructions below and solve.f(x) = f(x – 2) – f(x – 1), x is a natural numberf(1) = 0, f(2) = 1What will be the domain of the definition of the function f(x) = 8–xC 5–x for positive values of x?a){1, 2, 3}b){1, 2, 3, 4}c){1, 2, 3, 4, 5}d){1, 2, 3, 4, 5, 6, 7, 8}Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Read the instructions below and solve.f(x) = f(x – 2) – f(x – 1), x is a natural numberf(1) = 0, f(2) = 1What will be the domain of the definition of the function f(x) = 8–xC 5–x for positive values of x?a){1, 2, 3}b){1, 2, 3, 4}c){1, 2, 3, 4, 5}d){1, 2, 3, 4, 5, 6, 7, 8}Correct answer is option 'C'. Can you explain this answer?.
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