1

JEE Main 2017 (Online) 8th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

Let f(x) = 2

^{10}.x + 1 and g(x)=3^{10}.x $$-$$ 1. If (fog) (x) = x, then x is equal to :2

JEE Main 2017 (Offline)

MCQ (Single Correct Answer)

+4

-1

The function $$f:R \to \left[ { - {1 \over 2},{1 \over 2}} \right]$$ defined as

$$f\left( x \right) = {x \over {1 + {x^2}}}$$, is

$$f\left( x \right) = {x \over {1 + {x^2}}}$$, is

3

JEE Main 2017 (Offline)

MCQ (Single Correct Answer)

+4

-1

Let $$a$$, b, c $$ \in R$$. If $$f$$(x) = ax

$$a$$ + b + c = 3 and $$f$$(x + y) = $$f$$(x) + $$f$$(y) + xy, $$\forall x,y \in R,$$

then $$\sum\limits_{n = 1}^{10} {f(n)} $$ is equal to

^{2}+ bx + c is such that$$a$$ + b + c = 3 and $$f$$(x + y) = $$f$$(x) + $$f$$(y) + xy, $$\forall x,y \in R,$$

then $$\sum\limits_{n = 1}^{10} {f(n)} $$ is equal to

4

JEE Main 2016 (Online) 9th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

For x $$ \in $$

f

Then the value of f

**R**, x $$ \ne $$ 0, Let f_{0}(x) = $${1 \over {1 - x}}$$ andf

_{n+1}(x) = f_{0}(f_{n}(x)), n = 0, 1, 2, . . . .Then the value of f

_{100}_{}(3) + f_{1}$$\left( {{2 \over 3}} \right)$$ + f_{2}$$\left( {{3 \over 2}} \right)$$ is equal to :Questions Asked from Functions (MCQ (Single Correct Answer))

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