For exercises 5–6, use the functions f(x) = x² + x and g(x) = 3x - 5. Simplify your answe g(x+h)-g(x) 5. f(g(x)) 6.

Q: The range of f(x)=/4-x² is [0,2] O (-00,2] [2,0) O [-2,0] [-2,2]

A: Range :- set of all output values

Q: 5. What is the domain of the function h(x)= 11 X x 2 1 ?

A:

Q: In Exercises 43–46, find the value(s) of x for which f(x)= g(x). f(x)=x^2+2x+1, g(x)=5x+19

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Q: 4 Explain the difference between: f(x) +a f(x+a)

A:

Q: 1. How to define the function, f(x, y) = 15x+4x*y+15y 3x+3y to make it a continues function?

A: We have to find the given function is continuous.

Q: How has the function g(x), shown below, been transformed from the parent function, f(x) = x2 ? g(x)…

A:

Q: ax+bx+4 ifgと- ニ bx*-2 × ifメ

A:

Q: Determine when f(x) g(x) %3D f(x) = In (3z)- 2 9(x) = e-4

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the value of the constant k that makes the function continuous.

A: Given: h(x)=3x2+2x-8x+2 if x≠-23x+k            if x=-2

Q: Draw an example of a function that's not invertible, and explain why your answer works.

A: Given We have to draw an example of a function that is not invertible

Q: When the qiven function f(x) = cx^3 - 3x^2 + dx - 4 is divided by (x+2), the remainder is -34. When…

A:

Q: The percentage of gross domestic product​ (GDP) in a state going toward health care from 2007…

A: Given, the modelled function f(x) = 1.3lnx + 14.7, where f(x) is the percentage of gross domestic…

Q: differentiate y= (4x + 3)2 using the Chain Rule. a. What is the outer function? b. What is the…

A: Given: y=4x+32

Q: A8: By use of the chain rule, differentiate the function f(x) = In(x* + 1).

A: It is differentiation using chain rule.

Q: Differentiate the function. f(x) (9x2 15x)e* = f'(x)

A: First simplify the given function as follows.

Q: Where is f(x)%3D4(x-2)+2(x-2) increasing?

A: Here, fx=4x-212+2x-232

Q: 1. How will the function f (x) = (x – 6)° + 5 be transformed from its parent function? -

A: Given function, f(x)= (x-6)6+5 The parent function is g(x)= x3

Q: Can you calculate f(−2), f(x + 5), f(α), and f(α + Δ) for the function f(x) = 2π2?

A: The given function is: f(x) = 2π2. Yes we can calculate  f(-2) and other values f(x+5), f(α) and…

Q: How will the function f(x)= -(x+4)^3-8 be transformed from its parent function?

A:

Q: mathematically

A: We will solve the problem

Q: A store owner estimates that by charging x dollars each for a certain lamp, he can sell 40 – x lamps…

A: Given  number of lamps sell each week by charging x dollars each = 40-x

Q: Exercises 38–40 will help you prepare for the material covered in the first section of the next…

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

Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: 1, Differentiate the function. (7) f(x)= e (8) f(x)= (9) f(x)= Vx+/2x+ V2x (10) f(x)= 81+

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Differentiate f (x)  = e4x2-x

A: Given, fx=e4x2-x

Q: How many points of inflection does the function f(x)=x7-x2 have?

A: We have to find number of inflection point for the function: fx=x7-x2 We know that inflection points…

Q: On the second line of the (f-g)(x) calculation why does it write as 2x+1-(3x-2) rather than…

A: On the second line of the (f-g)(x) calculation why does it write as 2x+1-(3x-2) rather than…

Q: Linearize the function f(x) = x3 + 2x + 4 at a = 3.

A: To linearize a function  at certain point x=a , first we need to evaluate the function value at a (…

Q: What is the point of intersection for f(x) = 2* and g(x) = A (1,0) (1, )

A: Here we have to find the point of intersection of f(x)=2x ............................... (1)  and…

Q: The average births per woman in a certain developing country can be modeled according to the…

A:

Q: What is the value of f(1) + g(1)?

A: This question can be solved using integration by parts.

Q: Differentiate the function 7) a) f(x) = - 2

A: Here we have to find the derivative of the given function.  Here we use some standard formula of…

Q: (d) Differentiate the implicit function below y³ + y = 2x² + 4

A: Given y3 + y= 2x2 +4

Q: A water ride with heights above and below the starting point can be modeled by the function…

A: As per the question, we will be solving the following.…

Q: evaluate the function for the given value of x. f(x)=x2-4x, g(x)=4x-3, (f of g)(2)=?

A: In order to find (f of g)(2), first find the  (f of g)(x).

Q: A step-wise function is given below: f(«) = { * - x2 - 2x + 3, when x < 2 Vx 2, when x 2 2 What is…

A: See solution below.

Q: Differentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the…

A: Given: y=e4x2+13   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x

Q: Consider the functions f (x) = Vx – 4 and g(x) = Vx – 4, are their domains the same or different?…

A: Find the domains of the given function

Q: What is the parent function of y = ○y=x³ y=x² − 3/3 (x + 2) (x − 8)?

A: y=-23x+2(x-8) we have to find its parent function

Q: What are some things that nonlinear functions don’t have?

A:

Q: - Consider the function f(x) = x* – 182 + 8, - 2 <7.

A: In this question we find the absolute maximum and minimum for the given value of function.

Q: Let f (x) = 2x and g (x) = 3x² + 1, find(go g) (x). Show your work using the Equation Editor Tool.

A:

Q: Apply the definition to differentiate the following functions: 1- y = ₁ 2- y = √√x 3-y=4-x²

A:

Q: a) Determine the domain and range of the function z = 4 - V9 - (x² + y?).

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Q: What is the domain of the function y = 3sin–1(2t)?   Can you explain how to think about the above…

A: The given function,

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.