Q. 175.0( 1 Vote )
Mark the correct alternative in each of the following:
If the function f: R → A given by
is a surjection, then A =
A. R
B. [0, 1]
C. (0, 1]
D. [0, 1)
Answer :
Given that f: R → A such that is a surjection.
f(x) = y
⇒ y(x2 + 1) = x2
⇒ yx2 + y = x2
⇒ yx2 - x2 = -y
Here,
So, y ϵ [0, 1)
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