6. For the given functions f and g, algebraically find (f-g)(x) f(x) = -5x3- 7x2 - 8x g(x) = 12x3- 6x + 1 (f-gla)- f(a)-gla) 75a-1x2_ Gx - (12x3-6 X4{) -5a3-7x- 8 x- {2x3+6x -1 - -11a-1- 2x-1 Answer for 6.: _ Honor Code: I hereby declare upon my word of honor that I have neither given nor received any help on this work.

Q: (2) For the f(x) = -x3 + 3x + 6 determine the coordinates of the turning point(s) and any point(s)…

A:

Q: 3. The amount of money ($125 per day) paid to substitutes at LHS depends on how many teachers are…

A: a)  Number of substitutes  =  20*0.8 + 2  =  18     Hence,  Money paid by LHS for substitutes  =…

Q: The critical points of the function f(x)= 3x -36x+1 are

A: The critical points of a function are the points at which the function is defined but its derivative…

Q: Find the absolute maximum and absolute minimum values of f(x) = r3 – 9x2 + 24x – 3 on [2,5]. -

A: Given:- f(x) = x3 -9x2 +24x-3  To find:- Absolute maximum and minimum of f(x) in [2, 5]

Q: L3Q3. If f(x) = -8x2 + 3x + 1 and g(x) = x + 1, find (f + g) (x). A.-8x2 + 4x + 2 B.-8x2 + 5x + 4

A:

Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: f(x)= 2x² – 8x- 3 on the given interval [1,3].

A: Given f(x)=2x2-8x-3 on [1,3]

Q: Determine critical points of the function f(x)=∣∣x2−4x+3∣∣.

A:

Q: What is f(x)= 3x-4 and g (x) = 5-x^2   (F of g)(-2) and  (g.f)(-2)

A: Definition used-       Composite function - In composite function output of the inner function is…

Q: The revenue from the sale of x manual food processors is given by R(x)=33x−0.3x^2dollars. The total…

A:

Q: # 3) Find f(x) if f'(x) = 9x2 – 12x – 5 and f(2) = 4 -

A:

Q: Find the critical points of the function f(K)-7x2-14x.

A:

Q: 22. Find the maximum or the minimum value of f(x)=-2x² –10x+5. SLO 11

A: To find the maximum and minimum values of the function

Q: 2 Find f(x)- g(x) when: f(x) = x2 + 1 g(x) = 2x – 5 x² + 3x – 3x x? - 2x + 6 -x? + 2x + 4 x² - 2x –…

A:

Q: 3. If f(x)=2x + k - 4 and f(f(k)) = 2, determine the value of f(-3).

A: f(x)= 2x+k-4 and f(f(k)) = 2, then find f(-3)

Q: Find the value of the constant k that makes the function continuous. 2x2 - 4x - 16 if x #4 g(x) = х-…

A: Solving by continuous definition we have

Q: Find the absolute maximum and absolute minimum of the function f (x) = x³ – 3x²+8 on the interval…

A:

Q: 11. Find the domain of √√x-4 x² - 6x f(x)=

A:

Q: 2. Determine the function f (x) for which f'(x) ==++ 3 1 + 8x3 x-2 x2 and f(1) = 7.

A: => f(x)= ∫ f'(x)dx

Q: 2) Find all points of inflection in the function f (x) = x 3 + 3x2 – 24x + 12.

A:

Q: Find the critical points of the function f(x)=8x3−x4.

A:

Q: 4 Find the domain of f(x) x + 3

A: Given:  fx=4x+3 To Find: Domain of the given function fx

Q: The revenue from the sale of x door snakes is given by R(x)=45x−0.3 dollars. The total cost is given…

A:

Q: 20.) Find function the Ceroes algebraically. of the f(x) = x² - 6x +8 4x X = ?

A:

Q: the total daily profit of a certain food company for the sale of boxes of buko is given by the…

A: Given: The total daily profit of a certain food company for the sale of boxes of buko is given by…

Q: 2. How does the function f(x) = -4x + 3x3 behave as x -00 and x 00?

A: The objective is to describe the behaviour of the given function in the ends .

Q: 8. For the function: f(x) = x² - 7x - 4 find f( - 5)

A:

Q: For the function f(x)= x3 + ax2 + 2a2x + a, there exists a point of inflection at x = 2. Determine…

A:

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A:

Q: find (f-g)x when f(x)=4-7x and g(x)=7x+1 a. (f-g)(x)=14x+5 b. (f-g)(x)=-14x+3 c.(f-g)(x)=-14x+5…

A:

Q: Find (f - g)(x). f(x) = 2x – 2, g(x)= 4-x x-6 O 3x-6 2x -6 2x+6

A: Given problem:- Find (f- g)(x).   f(x) = 2x - 2, g(x) = 4 - x

Q: 1. If f(x) = 2x – x² and g(x) = |x – 3|, find the value of f(-2) + g(-2)

A:

Q: The critical points of the function f (x)=x' – 9x² +8 are

A: For critical numbers we put f'(x) = 0

Q: Find (f-g)(x) if f(x)=sqrt16x4 and g(x)=3x3-3x-5. Choose from the answers below.…

A:

Q: 7.If f(x)= 2x – 1 and g(x)= x² – 2x, find f(3)/g(2). -

A: Given fx=2x-1 and gx=x2-2x. To find: f3g2 Solution: Finding f3.  f3=2·3-1=6-1=5 Now, finding g2.…

Q: - Find f for f"(x) 5x³ + 6x² + 2, f(0) 3 and f(1) = -2.

A:

Q: Find the all extreme points of f(x) = x³ – 6x2 + 9x – 3 is or [-2, 2] ? |

A:

Q: Find critical point of f(x)= 24x^2/3-8x

A: Find derivative of given function.

Q: The domain of f(x)=1xf(x)=1x is (−∞,0)∪(0,∞)(-∞,0)∪(0,∞). What is the domain of…

A:

Q: if f(x)=2x-6 and g(x)=x-x^2 find the value for g(-1)

A: f(x)=2x-6g(x)=x-x2By replacing he value of x with -1

Q: manufacturer finds that the revenue generated by selling x units of a certain commodity is given by…

A: Given query is to maximize the revenue.

Q: Suppose f'(x) =x++x3-6x2. Determine the value of x where f has a relative maximum value.

A:

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

A:

Q: Find and classify the extreme values of f(x) = 6x4 – 4x over the interval [-2, 2].

A:

Q: 2-If F(x)= -x²+2x -4 and g(x)= 1/(2x+4) find g(f(-1)) ( ".

A:

Q: find inflection points of f(x) = (x^3)/3  -2x^2 + 3x -9

A:

Q: Suppose f'(x) =x++x3- 6x2. Determine the value of x where f has a relative maximum value.

A:

Q: The function f (x) 4 +3 3x2 + 20 has all the following critical points except 3 -- (А) 4 (в) 2 -3

A: For critical points put first derivative=0

Q: What are the critical points for the function f(x) = 2x3 2a – 9x? – 108x + 5 x = 3 and x = -6 x = 2…

A:

Q: 10. Which statement is true about the functions f(x) = -15x + 32 and g(x) = -17x + 5x + 32? A. f(x)…

A: The given functions are fx=-15x2+32  and  gx=-17x2+5x+32. The graphs of these two functions is