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Many-One onto Function

Let f : R →...

Question

Let f : $R \to R$ and g : $R \to R$ be two one-one and onto functions such that they are the mirror images of each other about the line y = 2. If h(x) = f(x) + g(x), then h(0) equal to

A

2

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B

4

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C

0

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D

1

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Solution

The correct option is B 4
Given $g (x)$ and $f (x)$ are mirror images about $y = 2$
$⟹ g (x) - 2 = 2 - f (x) ⟹ f (x) + g (x) = 4 ⟹ h (x) = 4$
$h (0) = 4$

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