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Functions question

2022 · 26 Jun · Shift 2 · Q25

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PYQ Library
JEE Main
Mathematics
Functions
2022 · 26 Jun · Shift 2 · Q25

Functions question

2022 · 26 Jun · Shift 2 · Q25

JEE MainMathematicsFunctionsMCQ+4 / −1

Let f : R

\to

R be defined as f (x) = x

-

1 and g : R

-

{1,

-

1}

\to

R be defined as

g(x) = {{{x^2}} \over {{x^2} - 1}}

. Then the function fog is :

A
one-one but not onto
B
onto but not one-one
C
both one-one and onto
D
neither one-one nor onto

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