Find the composition of functions

Q: Differentiate the functions.

A:

Q: s the correct function for

A: The graph corresponds to cosine function. Also at x=0 ;y =1  , hence it must be an cosine function.

Q: Explain Composite Functions?

A: Given: Explain Composite Functions?

Q: decide whether or not it is a function.

A: We have to decide whether the given relation are function or not.

Q: Express the area A of a rectangle as a function of the length of the rectangle is twice its width

A: Topic:- Function

Q: 1 3 – csc x

A:

Q: FX) = Secx

A: Given function to be differentiated is : F( X ) = sec X2 In order to differentiate above function,…

Q: Find a function £

A:

Q: Differentiate the function.

A:

Q: Did your image left or right from the parent function?

A: Given graph is

Q: Find the Domain and Range of the functions:

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: How can the composite function be evaluated?

A: To explain how the composite function can be evaluated.

Q: Write a function rule for the total cost in dollars of gasoline if a gallons of gasoline for $3 per…

A:

Q: Identify the function whose graph appears above. f(x) 3D %3D

A: The given graph appears to be tangent function.

Q: Find the Domain and Range of functions:

A:

Q: In plainspeak, what do composite functions do?

A: A composite function is generally a function that is written inside an another function. Composition…

Q: Differentiate the function

A:

Q: What is the slope of the identity function?

A: The identity function is a special type of linear function

Q: Differentiate the following function.

A:

Q: Find the Difference Quotient of a Function

A: The difference quotient of the function f(x) is given as follows: f(x+h)-f(x)h Steps to find…

Q: Does adding a constant term to a function affect the existence of an inverse function? Explain.

A: Does adding a constant term to a function affect the existence of an inverse function? Explain.

Q: Classify the functions as even, odd, or neither. ƒ(x) = 5x

A: Given function is fx=5x. To determine whether function is even, odd or neither. Solution: A function…

Q: Write the main ways functions are combined or transformed to form new functions?

A: If two functions are given then we can use the composition of functions to find the new composite…

Q: Describe what is the relationship between differentiability and continuity of a function.

A: To explain: The relationship between differentiability and continuity of a function. Explanation:…

Q: Find the Domain of a Function Defined by an Equation

A: Consider a function in the equation form y=x3+x+8 or fx=x3+x+8

Q: Describe the relationship of input and output values for composite functions

A: Use the definition of composition of two functions.

Q: Graph these functions

A:

Q: A rancher wants to fence in an area of 500,000 square feet in a rectangular field and then divide it…

A: Let l be the length and w be the width of a rectangle.Then Area = l×b Perimeter = 2×(l+b)

Q: What do the Algebraic functions include?

A: An algebraic function include variables, constants and algebraic operations (such as addition,…

Q: Please sketch graph for the below functions

A:

Q: Explain what type of function is automatically an algebraic function?

A: A function is called as an algebraic function if it is made by algebraic operations like addition,…

Q: Classify the functions as even, odd, or neither. ƒ(x) = 3x

A:

Q: Can this be a one to one function?

A: Defnition:  Let f:R→R be a function , if f is said to be one to one then every element in domain has…

Q: Identify the domain and range of the function:

A:

Q: Identify the relations which are also functions.

A:

Q: define convolution of two functions?

A:

Q: What is the identity function?

A: Identity function:

Q: Describe the Algebraic Functions?

A: A function involving only mathematical operations like addition, subtraction, multiplication,…

Q: Help on identifying the parent function

A:

Q: Propose a formula for the function.

A: I think the function depicted by the graph below is an exponential function.  The reasons are : 1)…

Q: examine the continuity of the function

A: Given function is not defined at x=0

Q: What are the odd functions?

A: We have to define odd function. If we have function y=fx then for odd function it must satisfy that…

Q: How can a function be described in pieces?

A: A function can be described in pieces with different formula in different intervals of its domain.

Q: Determine whether the following functions have an

A: Given,        f(x)=x2-1

Q: Make a rough sketch of the graph of the function. Donot use a calculator.   y = 2(1 -ex)

A: Make a rough sketch of the graph of the function. Donot use a calculator.   y = 2(1 -ex)

Q: Determine the missing coordinates of the points on the graph of the function.

A:

Q: Find the function that satisfies the given conditions.

A:

Q: Differentiate the function. y= xx

A: Differentiation: y=xxTaking log on both sides we get,ln y=ln(xx)ln y=x ln(x)

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.