Question: In Exercises, discuss the continuity of the composite function (x) = (g(x)). (x) = sin x g(x) = x

In Exercises, discuss the continuity of the composite function ℏ(x) = ƒ(g(x)).

ƒ(x) = sin x

g(x) = x²

Step by Step Solution

★★★★★

3.47 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

To determine the continuity of the composite function x gx we need to check the continuity of b... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus 10th Edition Questions!

Q:

In Exercises, discuss the continuity of the composite function (x) = (g(x)). f(x) = tan x g(x) || X 2

Q:

In Exercises, discuss the continuity of the composite function (x) = (g(x)). (x) = 5x + 1 g(x) = x

Q:

In Exercises, discuss the continuity of the composite function (x) = (g(x)). I - x = (x)8 x^ 1 f(x) =

Q:

In Exercises, discuss the continuity of the composite function (x) = (g(x)). S + zx = (x)8 (x) 9-x I

Q:

In Exercises, discuss the continuity of the composite function (x) = (g(x)). (x) = x 2 g(x) = x -1

Q:

In Exercises 6770, discuss the continuity of the composite function f g. f(1) = / t g(x, y) = x + y

Q:

In Exercises 6770, discuss the continuity of the composite function f g. (1) = 1 1 / f(t) -t g(x, y) = x + y

Q:

In Exercises discuss the continuity of each function. f(x) = /[x] + x + -3-2-1 3 2 1 y -3+ 1 2 3 X

Q:

Question 3 (a) Define the function f: R - R by x3 - 8 f (x) = if x # 2, x - 2 if x = 2. Discuss the continuity of the function f (x) at x = 2. Explain your answer. (6 marks) (b) Define the function...

Q:

Question 3 (a) Define the function f : R - R by 8 f ( x ) = if x * 2, x - 2 4, if x = 2. Discuss the continuity of the function f (x) at x = 2. Explain your answer. (6 marks) (b) Define the function...

Q:

Following the recession of 2001, there was a month in which employment and the unemployment both rose. Assuming the computations were correct, how is it possible for both to have increased? (5...

Q:

An 8 m3-tank contains saturated air at 30oC, 105 kPa. Determine (a) The mass of dry air. (b) The specific humidity. (c) The enthalpy of the air per unit mass of the dry air.

Q:

You have been offered a unique investment opportunity. If you invest $ 2 5 comma 0 0 0 today , you will receive $ 1 comma 2 5 0 one year from now, $ 3 comma 7 5 0 two years from now, and $ 2 5 comma...

Q:

The file Online contains a random sample of 48 customers who made purchases last quarter from an online retailer. The file contains information related to the time each customer spent viewing the...

Q:

Find the derivative of the trigonometric function. h(t) = 2 cot 2 (t + 2)

Q:

Find the derivative of the function. y = x(x 2 + 1)

Q:

Find the derivative of the trigonometric function. y = x + cot x

Q:

MC algo 4 - 4 9 Calculating Annuity Present Values Your parents are giving you $ 2 1 5 a month for 4 years while you are in college. At an interest rate of 3 5 percent per month, what are these...

Q:

answer quick please Question 19 5 pts Operating cashflow of XYZ Co.is $6,500. Its cashflow to creditors is $3,000 and cashflow to stockholders is $1,500. What is the change in NWC if the net capital...

Q:

In the Capital Asset Pricing Model, the sole source of risk is... Select one alternative: Behavioural risk Systematic market risk Price risk Idiosyncratic market risk Reset Maximum marks: 3