/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 10 True or False聽The聽domain聽of聽... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q. 10 (page 450)

True or FalseThedomainofy=sin-1xis-蟺2鈮�x鈮�蟺2.

Short Answer

Expert verified

False StatementThedomainofy=sin-1xis-蟺2鈮�x鈮�蟺2.

Step by step solution

01

Step 1. Given Information:

Given statement:

Thedomainofy=sin-1xis-蟺2鈮�x鈮�蟺2.

We want to know is the given statement is True or False.

02

Step 2. Solution:

If we know the range of the function then we can determine the domain of its inverse as follows:

Domain of the inverse function = The range of the original function.

We know that the range of the sine function is [- 1 , 1].

Therefore, the domain of the its inverse defined as y = sin-1 x is equal to the range of the sine function which is [- 1 ,1].

Hence, the domain of y = sin-1 x is -1鈮�x鈮�1so the statement is false.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Show that the difference quotient for f(x)=cosxis given by


role="math" localid="1646431168099" f(x+h)-f(x)h=cos(x+h)-cos(x)h=-sinx路sinhh-cosx路1-coshh

Rewrite in terms of sine and cosine functions: cot(胃)sec(胃)

If z=tan伪2, show that sin伪=2z1+z2.

Establish each identity.

(2cos2胃-1)2cos4胃-sin4胃=1-2sin2胃

cos2胃=cos2胃- = -1=1- .
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.