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Suppose for all integers x, there are two functions f and g such that f(x) + f(x – 1) – 1 = 0) and g(x) = x2. f(x2 – x) = 5, then the value of the sum f(g(5)) + g(f(5)) is
    Correct answer is '12'. Can you explain this answer?
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    Suppose for all integers x, there are two functions f and g such that ...
    If f(x) = g(x) for all integers x, then the functions f and g are said to be equal. This means that they have the same output for every input.

    If f(x) = -g(x) for all integers x, then the functions f and g are said to be additive inverses of each other. This means that their outputs have opposite signs for every input.

    If f(x) = g(-x) for all integers x, then the functions f and g are said to be symmetric about the y-axis. This means that if you reflect the graph of f about the y-axis, you will obtain the graph of g.

    If f(x) = -g(-x) for all integers x, then the functions f and g are said to be symmetric about the origin. This means that if you reflect the graph of f about the x-axis and the y-axis, you will obtain the graph of g.

    Overall, these conditions describe the relationships between functions f and g when certain equalities or symmetries are satisfied for all integers x.
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    Suppose for all integers x, there are two functions f and g such that f(x) + f(x – 1) – 1 = 0) andg(x) = x2. f(x2 – x) = 5, then the value of the sum f(g(5)) + g(f(5)) isCorrect answer is '12'. Can you explain this answer?
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    Suppose for all integers x, there are two functions f and g such that f(x) + f(x – 1) – 1 = 0) andg(x) = x2. f(x2 – x) = 5, then the value of the sum f(g(5)) + g(f(5)) isCorrect answer is '12'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Suppose for all integers x, there are two functions f and g such that f(x) + f(x – 1) – 1 = 0) andg(x) = x2. f(x2 – x) = 5, then the value of the sum f(g(5)) + g(f(5)) isCorrect answer is '12'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Suppose for all integers x, there are two functions f and g such that f(x) + f(x – 1) – 1 = 0) andg(x) = x2. f(x2 – x) = 5, then the value of the sum f(g(5)) + g(f(5)) isCorrect answer is '12'. Can you explain this answer?.
    Solutions for Suppose for all integers x, there are two functions f and g such that f(x) + f(x – 1) – 1 = 0) andg(x) = x2. f(x2 – x) = 5, then the value of the sum f(g(5)) + g(f(5)) isCorrect answer is '12'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
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