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)? Options: A . &nbspg(x+4) = |x| B . &nbspg(x-4) = |x| C . &nbspg(x) = |x| - 2 D . &nbspg(x) = |x| + 2 E . &nbspNone of these

f(x) = |x|. If f(x) is reflected with respect to the line x -2 =0 to get g(x), t

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)?

Answer: Option A
:
A

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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