New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Functions question

2020 · 7 Jan · Shift 1 · Q37

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Functions
2020 · 7 Jan · Shift 1 · Q37

Functions question

2020 · 7 Jan · Shift 1 · Q37

JEE MainMathematicsFunctionsMCQ+4 / −1

If g(x) = x2 + x - 1 and (goƒ) (x) = 4x2 - 10x + 5, then ƒ

\left( {{5 \over 4}} \right)

is equal to:

A
${1 \over 2}$
B
${3 \over 2}$
C
- ${1 \over 2}$
D
- ${3 \over 2}$

More from Functions

The inverse function of f(x) = $\frac{8 ^{2 x} - 8 ^{- 2 x}}{8 ^{2 x} + 8 ^{- 2 x}}$ , x $\in$ (-1, 1), is :2020 · MCQ
Let ƒ : (1, 3) $\to$ R be a function defined by $f (x) = \frac{x [ x ]}{1 + x ^{2}}$ , where [x] denotes the greatest integer $\leq$ x. Then the range of ƒ is2020 · MCQ
Let a – 2b + c = 1. If $f (x) = x + a x + b x + c x + 2 x + 3 x + 4 x + 1 x + 2 x + 3$ , then:2020 · MCQ
If $f (x) = lo g_{e} (\frac{1 - x}{1 + x})$ , $∣ x ∣ < 1$ then $f (\frac{2 x}{1 + x ^{2}})$ is equal to2019 · MCQ
Let ƒ(x) = ax (a > 0) be written as ƒ(x) = ƒ1 (x) + ƒ2 (x), where ƒ1 (x) is an even function of ƒ2 (x) is an odd function. Then ƒ1 (x + y) + ƒ1 (x – y) equals2019 · MCQ
If the function ƒ : R – {1, –1} $\to$ A defined by ƒ(x) = $\frac{x ^{2}}{1 - x ^{2}}$ , is surjective, then A is equal to2019 · MCQ
Let $k = 1 \sum 10 f (a + k) = 16 (2^{10} - 1)$ where the function ƒ satisfies ƒ(x + y) = ƒ(x)ƒ(y) for all natural numbers x, y and ƒ(1) = 2. then the natural number 'a' is2019 · MCQ
The domain of the definition of the function $f (x) = \frac{1}{4 - x ^{2}} + lo g_{10} (x^{3} - x)$ is2019 · MCQ