for Real And y. If f’(0) Exists And Equals – 1 And f (0) = 1 Then The Value Of f(2) Is

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Question

for real and y. If f’(0) exists and equals – 1 and f (0) = 1 then the value of f(2) is

–1
–3
–2
–4

diffcult

Solution

Correct option is

–1

Putting y = 0 in the given functional equation,

Let x Ïµ R, then

using (i)

Thus f(x) = 1 – x, in particular

f(2) = 1 – 2 = –1.

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