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Q #6
:

CAT Functions - Value of p - q


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If f(x – 3) = 2x3 + p – qx and f(x2 – 4) = x2 – 8q + 6p, then what is the value of p – q?


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Q #7
:

CAT Functions - Value of a


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Given that x is real and f(x) = f(x + 1) + f(x – 1). Determine the value of ‘a’ that will satisfy f(x) + f(x + a) = 0?


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Q #8
:

CAT Functions - Function of a function


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x is a real number such that f(x) = 1/x when x > 0 and f(x) = 1/(x + 1) otherwise. Also fn(x) = f(fn - 1 (x)). What is f(3) + f2(-3) + f3(3) + f4(-3)?


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Q #9
:

CAT Functions - Identical Functions


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Which of the following functions are identical? f(x) = x3/x2
g(x) = (√x)2
h(x) = x


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Q #10
:

CAT Functions - Function of a function


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The value of f?g?h(9) could be, if
f(x) = 1x
g(x) = 1(x−2)
h(x) = √x


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