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Functions

f x =| x | . ...

Question

f(x) = |x|. If f(x) is reflected with respect to the line x -2 =0 to get g(x), then which of the following is g(x)?

g(x+4) = |x|

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g(x-4) = |x|

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g(x) = |x| - 2

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g(x) = |x| + 2

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Solution

The correct option is A
g(x+4) = |x|

Option (a)
g(4) = 0 also f(0) = 0. So, g(4) = f(0)
Out of the given options, only (a) satisfies g(4) = f(0) when you put x = 0 Hence, the answer is
option (a)

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