In Exercises 23-24, find a. (f + g)(x) and b. (f + g)(3). 23. f(x) = 4x - 5, g(x) = 2x + 1 24. f(x) = 5x2 - x + 4, g(x) = x - 3

Q: In Exercise 4, find the domain and range of the function. 4. f(x, y) = √(36 − x^2 − y^2)

A: Consider the given function z = f(x, y) = √(36 − x^2 − y^2)

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

A:

Q: (1) Find and classify the extremes value of    f(x) = 6x4 - 4x6  over the interval [ -2,2].

A: The given data is: fx=6x4-4x6 To find and classify the extremes value over the interval [-2,2].

Q: .22メ-3 when x=-3 G-メフナス

A:

Q: Find and classify the extremes value of    f(x) = 6x4 - 4x6  over the interval [ -2,2].

A:

Q: 2.3 - Can you show the steps to solving this problem? Differentiate the function. 12) y = x^(5/3) -…

A: We have to use the exponent rule.

Q: Q3// Find without calculator: Csc-(V2)

A: Given problem is  :

Q: 2 - 3x - f 2x-2,

A:

Q: 3 + 2x g(x) %3D 5 - 8x

A:

Q: Use end behavior to explain why f(x) = -49x3 + 806x2 + 3776x + 2503 is only an appropriate model for…

A: Consider the polynomial: fx=-49x3+806x2+3776x+2503Leading Coefficient=-49NegativeDegree=3Odd If the…

Q: When a company charges p per unit, it can sell 100 − 2p units. What is the revenue function?" I'm…

A: Given that:-price per item=punits of item sold=100-2pTo find: the revenue function

Q: What is f(1)? 3- 2. 3.

A:

Q: domain of f(x)=V9– x² is 1- (9,-9) 2- (-3,3) [-3,3] [9,-9] 2- 4-

A: Explanation of the answer is as follows

Q: (1 point) If f(x) = 7+ 2x – 4x² then f'(-4) =

A: Solve the function

Q: 6 Identify any point(s) of inflection of f(x) = -3x³ + 5x³ and justify. %3D

A: The given function is: f(x)=-3x5+5x3 To find the inflection point we have to check the concavity of…

Q: 4) g(x) = 2x Find g(g(-3)) %3D

A:

Q: 4. Differentiate using first principles. f (x) = -3x² + 4x + 6

A:

Q: What is Range v(x+5)-2?

A:

Q: Find the extreme values of on [-2,2]. f(x) = Sre™, x 0

A:

Q: 2. Differentiate. (a) f(x) = Vx² + 3x

A: differentiate accoding to guidelines we should able to do only one question at a time

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: In Exercises 37–40, find a simplified expression for (х). 37. f(x) = 8x - 38x? + 49x – 10, g(x) = 4x…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Use quotient Rule: 2 6. y = X-3 5. У x2 –5x + 6

A:

Q: f (x) = x2 - x - 2; [-4, 5] [-4, 10]

A: The function is the unique relationship where each x is mapped to a unique y. It can be of any type,…

Q: Sketch the graph of:

A: Given: fx=-x2-6,x≤-4x+5,x>-4 For drawing graph of given function, we will use graphing calculator

Q: 5-2x 13. f (x) = 3+2x

A: Given: f(x)=5-2x3+2xwe know that defination of derivative is…

Q: Find the upper 1 % point of F2,5.

A: The degrees of freedom for numerator is 2 and the degrees of freedom for denominator is 5. Software…

Q: −5x – 5, f(x) = 2x² + 2x - 1, x < -1 x ≥ −1

A:

Q: 3. What are the domain and range of z-1?

A: Solution

Q: Determine the end behavior of 6x3 - 4x² + 9x + 8 f(x) – 2x3 + 2x2 – 2x – 5 -

A:

Q: solve

A:

Q: 2 The maximum value of (-3 + 4x – x + 4)2 + (x – 5)2

A: Introduction :

Q: Find and classify the extremes value of f(x)=6x4 - 4x6  over the interval [-2,2].

A:

Q: find the value(s) of x for which fxgx. f(x)=x2+2x+1,g(x)=5x+19

A:

Q: 3. The fuel used by a car is defined by f(x)=3x=/80-6x+245. where x is the travelling speed in km/h.…

A: The fuel used by the car is given by the function: f(x)=310x2-6x+245 where x is the speed of the…

Q: (-1, xS-4 2) f(x) = {2x + 2,-4 0 -8 64-2

A: We have to find the graph of the given function

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

A: 5.  f(3x-5) =(3x-5)^2 + (3x-5) = 9x^2 + 25 -30x + 3x -5 =9x^2 -27x +20.

Q: 3. What is (x + x) / (x² + 1)?

A:

Q: Differentiate f(x) = x² – 3x by first principles“

A: Given f(x)=x2-3x

Q: 7. State the restrictions on f(x) 2x 3x-6

A:

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

A: Given that : sin-1 sin 5π4 = 5π4  Determine whether the statement makes sense or does not make…

Q: 3) Show that (f • g)(x) = (g • f)(x) = x. f(x) = 4 – 3x g(x) =(4 – x)

A:

Q: what is f(-2)?

A: Given,

Q: Study the sign of f(x) = -x + 6x – 9. %3D

A: Given: - The function is, f(x)=-x2+6x-9 To study: - The sign of given function f(x).

Q: Can a quadratic function have a range of ( - ∞, ∞)? Justify your answer.

A: we have to justify the given statement   The given statement is can a quadratic function have a…

Q: 6. Differentiate the f(x) = 2x 12x а. e 4 1 b. 4 С. еx d. e2x

A: Given: fx=12e2x Now differentiate the given function we get, dfdx=ddx12e2x=12ddxe2x…