2x-4 if -2sx54 If f(x) = · , find: (a) f(0), (b) f(1), (c) f(4), and (d) f(6). x-4 if 4

Q: AY (x) 10-8 6 -4 2 2- g(x) 4.

A:

Q: F(x) = x-4, 16 - x2, x< 4 x 2 4 6. 3 4.

A: By the given function

Q: (x²-s)' 13. g(x) =- (구+ 4)"

A:

Q: x² - x - 12 f (x) = x2 - 2x- 8

A: In the question function given is-        f(x)=x2-x-12x2-2x-8 Simplifying the given function we get-…

Q: -6 f(3) – 6 - g(-1) =| 8. サー9(z) -8 -6 -4 2 -4- サー) %23

A:

Q: 3r²-7r-6 lim r2 - 9 6.

A: We have to evaluate the limit 11) limx→33x2-7x-6x2-9 12) limx→25x-25x-5

Q: f(3) - f(-1) f(x) = 4x² - 3x +2

A:

Q: 2x - 3x + 13x+a if x#2 f(x) = . X-2 b if x = 2

A: Solution:- It is give that f(x) is continuous at x=2  and the given function is  f(x)=…

Q: Determine. '{F}. 4s2 + 3 sF(s) – SF(s) – 2F(s) = - s + 4s

A: Rewrite the given equation.

Q: S)-(4r' -2r² +3x)(A+--3) Find f"(x).

A:

Q: fx +1 3- ax? if x > 1 if xs1 2. f(x) = %3D

A:

Q: f(x) =-2x - 4 if xs2 | 4x -9 if x> 2 f(-4) = f(8) = f(2) =

A:

Q: .22メ-3 when x=-3 G-メフナス

A:

Q: y1 =  8x,  y2 =  (6x -  1), and y1 exceeds y2 by 2.

A:

Q: 6. If g(x) = x'+x²+ g"(2). find the value of

A: see 2nd step.

Q: If f (-4) for f () = -2x +7 is 15, then what is f- (15)?

A:

Q: 22. If f (x) = 16vx, then f"(4) is equal to (A) -32 (В) -16 (С) -4 (D) -2 (E)

A:

Q: 3x10 + 3a5 + 5æ² + 7. What particular solution that satisfies Suppose f'(x) 455 -? 66 f(1)

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Q: f'(x) -6 /5 -4 -3 -2 -1 1 2 13 4

A: Recall: Suppose that x=a is a critical number of continuous function f(x): if f'(x) changes from…

Q: 2 f(x) = 3x-5x-5; k = 3

A:

Q: Is x =0 in the domain of gex)- x-4x

A: Yes,x=0 in the domain of g(x) Here is detailed proof is given.

Q: 7x² + 3x + 3 If f(x) = then: f'(x) =| f'(3) =

A: Given function fx=7x2+3x+3x To find the derivative of given function Quotient rule is used For any…

Q: X-2 K = 5 3K+2X

A:

Q: 30х3 + 31г? — 25х — 6 - Find the domain of f(x) = 123 59x2 – 11x + 30' -

A: Given :   f(x) = 30x3+31x2-25x-612x3-59x2-11x+30   To find : The domain of f(x).

Q: 12x2, 0<x<1, 0<y<1- f(x.y) = 0, elsewhere

A: (a) The variable X and Y will be independent if the equality fx,y=gxhy holds for all values x and y…

Q: السؤال الثاني |4-x Vx-1 Find the domain of y = - 2 3+x| x+5

A: We have to find the domain of y=4-x3+x-2-x-1x+5 For domain x≠-3, x≠-5 and  x-1≥0⇒x≥1 And…

Q: 4x2 +3x + If f(x) f'(z) - f'(3) =

A: fx=4x2+3x+2xTo find f'x and f'3

Q: f(x) = -a2 +7x – 13 x²+7x- 13 Find f(-3)

A: fx    =-x2+7x-13f-3 =--32+7-3-13-xn=1      n is even-1   n is odd-32=9   and  +×-=-rule of sign for…

Q: 2x2 If f(r) = 5z 5 then 4z +1

A:

Q: 2. у -х3 -Зx? - 2 atx3D1 at x = 1

A: To find the value of this function at x=1

Q: 30x3 + 31x? 25x – 6 - Find the domain of f(x) = 12x3 – 59x2 11x + 30 - -

A:

Q: 1. Find the intervals of increase and decrease for: y = -4x² + 15x? + 18x + 3

A: The derivative of a function is used to determine if  the function is increasing  or decreasing on…

Q: Sx² – 4 if x # -3 -2 if x = -3' Evaluate f(4), f(0), f(-3) and f(-2/3)

A: fx=x2-4if x≠-3-2if x=-3 We have to evaluate f4 , f0 , f-3 and f-23

Q: Find the domain

A:

Q: -2(x-4)+12(3-2x)=-8

A:

Q: 5. The revenue and operating cost of a car wash facility are given by R(x) = 13x – 0.7x² and C(x) =…

A:

Q: 6. Find "x" x-8 D -12 + 2x F 10

A: Given FE = 12+2X   , ED = X-8and FD = 10

Q: 6. F(- 1)*-\VR k² + 1 k = 1 8

A:

Q: The revenue for a product is given by: R(x)=x^3-10x^2-25x-60      Is the revenue increasing or…

A:

Q: Find g(x)= -x2+ 5x - 2 when g1(2)

A: First calculate g'(x) then put x = 2.

Q: x2 - 4x if x 4 f(x) = x2 - 16 a = 4 %3D if x 4

A:

Q: What is the end behavior for this equation? f(x)=-3x² - 4x +7 As x-∞, f (x)→→∞, and as a →→∞, f (x)…

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Q: 5x +2 Q5. If f(x)=: 3x -x then find f'(2)

A:

Q: 19. f(x)=x²-5

A: Topic = Functions As per guidelines , At a time only one question can be answered out of different…

Q: 3x-2 if -3sX54 If f(x) = find: (a) f(0), (b) f(1), (c) f(4), and (d) f(6). x°-4 if 4<xS6 (a) f(0) =…

A:

Q: 14-x Vx-1 Find the domain of y | 3+x x+5

A: The given function is: y=4-x3+x-2-x-1x+5

Q: (a) g (x)=x² -9 -69 8(5) = 8(-3) =

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Q4/B/ Find f-'(x) and test, if f(x) = -(x+ 2)2 -1.

A:

Q: Q2: y=(-32+x) Q3: 4ln(2x+3)=11 Q3: find Domain and Range x2 + 2x - 15

A: Solution: The objective is to find the domain and range of the given functions