1

JEE Main 2021 (Online) 25th February Morning Shift

MCQ (Single Correct Answer)

+4

-1

Let f, g : N $$ \to $$ N such that f(n + 1) = f(n) + f(1) $$\forall $$ n$$\in$$N and g be any arbitrary function. Which of the following statements is NOT true?

2

JEE Main 2021 (Online) 24th February Morning Shift

MCQ (Single Correct Answer)

+4

-1

Let f : R → R be defined as f (x) = 2x – 1 and g : R - {1} → R be defined as g(x) =
$${{x - {1 \over 2}} \over {x - 1}}$$.
Then the composition function f(g(x)) is :

3

JEE Main 2020 (Online) 6th September Evening Slot

MCQ (Single Correct Answer)

+4

-1

For a suitably chosen real constant a, let a

function, $$f:R - \left\{ { - a} \right\} \to R$$ be defined by

$$f(x) = {{a - x} \over {a + x}}$$. Further suppose that for any real number $$x \ne - a$$ and $$f(x) \ne - a$$,

(fof)(x) = x. Then $$f\left( { - {1 \over 2}} \right)$$ is equal to :

function, $$f:R - \left\{ { - a} \right\} \to R$$ be defined by

$$f(x) = {{a - x} \over {a + x}}$$. Further suppose that for any real number $$x \ne - a$$ and $$f(x) \ne - a$$,

(fof)(x) = x. Then $$f\left( { - {1 \over 2}} \right)$$ is equal to :

4

JEE Main 2020 (Online) 6th September Morning Slot

MCQ (Single Correct Answer)

+4

-1

If f(x + y) = f(x)f(y) and $$\sum\limits_{x = 1}^\infty {f\left( x \right)} = 2$$ , x, y $$ \in $$ N, where N is the set of all natural number, then the
value of
$${{f\left( 4 \right)} \over {f\left( 2 \right)}}$$ is :

Questions Asked from Functions (MCQ (Single Correct Answer))

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