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Advanced Math / Nonlinear functions Difficulty: Medium

The function f is defined by fx=4x-1. What is the value of f21?

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Explanation

Choice C is correct. It’s given that function f is defined by the equation fx=4x-1. The value of f21 is the value of fx when x=21. Substituting 21 for x in the given equation yields f21=421-1, which is equivalent to f21=4121, or f21=421.

Choice A is incorrect. This is the value of f21 when fx=-4x, rather than fx=4x-1.

Choice B is incorrect. This is the value of f21 when fx=4x-1, rather than fx=4x-1.

Choice D is incorrect. This is the value of f21 when fx=4-1x, rather than fx=4x-1.