If f(x) = ^ 2 x and the composite function g f(x) = | x |, then t… - Vidyadip

MCQ

If $\text{f(x)} = \sin^{2}\text{x}$ and the composite function $ \text{g}{\text{f(x)}} = | \sin\text{ x } |$, then the function g(x) is equal to:

A
$\sqrt{\text{x} - 1}$
✓
$\sqrt{\text{x}}$
C
$\sqrt{\text{x} + 1}$
D
$-\sqrt{\text{x}}$

✓

Answer

Correct option: B.

$\sqrt{\text{x}}$

$\sqrt{\text{x}}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from RELATIONS AND FUNCTIONS→RELATIONS AND FUNCTIONS — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

The number of ways in which we can select three numbers from $1$ to $30$ so as to exclude every selection of all even numbers is

If $0 < x < \pi $ and $\cos x + \sin x = \frac{1}{2}$,then $tan \,x$ is

There are $5$ roads leading to a town from a village. The number of different ways in which a villager can go to the town and return back, is

If the sum of first $n$ terms of an $A.P.$ be equal to the sum of its first $m$ terms, $(m \ne n)$, then the sum of its first $(m + n)$ terms will be

For $0<\theta<\pi / 2$, if the eccentricity of the hyperbola $\mathrm{x}^2-\mathrm{y}^2 \operatorname{cosec}^2 \theta=5$ is $\sqrt{7}$ times eccentricity of the ellipse $x^2 \operatorname{cosec}^2 \theta+y^2=5$, then the value of $\theta$ is :

If $\sec x\cos 5x + 1 = 0$, where $0 < x < 2\pi $, then $x =$

The equation of radical axis of the circles ${x^2} + {y^2} + x - y + 2 = 0$ and $3{x^2} + 3{y^2} - 4x - 12 = 0,$ is

If the two circles $2{x^2} + 2{y^2} - 3x + 6y + k = 0$ and ${x^2} + {y^2} - 4x + 10y + 16 = 0$ cut orthogonally, then the value of $k$ is

Two dice are thrown and the sum of the numbers which come up on the dice is noted. Let us consider the following events associated with this experiment

$A:$ $^{\prime}$ the sum is even $^{\prime}$.
$B:$ $^{\prime}$the sum is a multiple of $3$$^{\prime}$
$C:$ $^{\prime}$the sum is less than $4 $$^{\prime}$
$D:$ $^{\prime}$the sum is greater than $11$$^{\prime}$.

Which pairs of these events are mutually exclusive ?

The circle passing through the distinct points $(1, t) , (t, 1)\, \& \,(t, t)$ for all values of $' t '$ , passes through the point :