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Q #16
:

CAT Functions - Composite Function


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If f(x) = 1/g(x), then which of the following is correct?


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Q #17
:

CAT Functions - Invertible Functions


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If f(x) =(x+6)/(x+2). Find the value of x for which f(x) = f-1(x)?


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Q #18
:

CAT Functions - Minimum Value of f(x)


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If f(x) = |x| + |x+3| + |x+6| + ……………………………..+ |x+3t|, where x is an integer and t is a positive integer, find the minimum value of f(x) when t = 6


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Q #19
:

CAT Functions - Minimum Value of f(x)


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In the previous question if t = 7, for how many values of x, f(x) will be minimum?


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Q #20
:

CAT Functions - Value of a Sequence


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If f(x)f(x−1) = (x−2)(x+1), for all x ≥ 0 and f(x) is a positive-valued function and f(6) = 81, find the value of f(4)


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