1
COMEDK 2021
MCQ (Single Correct Answer)
+1
-0

If $$f(x)$$ satisfies the relation $$2f(x) + f(1 - x) = {x^2}$$ for all real x, then $$f(x)$$ is

A
$${{{x^2} + 2x - 1} \over 6}$$
B
$${{{x^2} + 2x - 1} \over 3}$$
C
$${{{x^2} + 4x - 1} \over 3}$$
D
$${{{x^2} + 4x - 1} \over 6}$$
2
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

If $$f:R \to R$$ is defined by $$f(x) = |x|$$, then

A
$${f^{ - 1}}(x) = {1 \over {|x|}}$$
B
$${f^{ - 1}}(x) = - x$$
C
$${f^{ - 1}}(x) = {1 \over x}$$
D
The function $${f^{ - 1}}(x)$$ does not exist.
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