﻿ If f (x) = sin x = +cos x, g (x) = x2 – 1, then g (f (x)) is invertible in domain : Kaysons Education

# If f (x) = Sin x = +cos x, G (x) = x2 – 1, Then G (f (x)) Is Invertible In Domain

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## Question

### Solution

Correct option is

g [f (x)]

or     g [(x)] = sin 2x = y is invertible

#### SIMILAR QUESTIONS

Q2

For real x, let (x) = x3 + 5x +1, then

Q3

Q4

Set A has 3 elements and set B has 4 elements. The number of injections that can be defined from to is

Q5

The number of surjections from A = {1, 2,...n},onto = {a, b} is

Q6

Let E = {1, 2, 3, 4} and F {1, 2}. Then the number of onto function fromE to F is

Q7

Let and be two finite sets having m and n elements respectively. Then the total number of mappings from A and B is

Q8

The total number of injective mappings from a set with m elements of distinct functions from A to A is

Q9

Let A be a set containing 10 distinct elements, then the total number of distinct functions from A to A is

Q10

If the function