Evaluate the piecewise function at the given values of the independent variable. 5x +5 if x < 0 f(x) = 3x +7 if x20 (a) f( - 3) (b) f(0) (c) f(3) (a) f( – 3) = D (b) f(0) = (c) f(3) = O

Q: 5x2 + 3x + 3 If f(x) then: f'(x) = f'(4) -

A:

Q: f(x)=2x-5        g(x)=3x2-3 (g o f)(x)

A:

Q: 3x2 + 5x + 3 If f(x) then: f'(x) = f'(2) =

A:

Q: 3x² Find f'(x) given that f(x) = Vx² + 2x -1

A: Given: f(x)=3x2x2+2x−1f'(x)=? Let, y=3x2x2+2x−1dydx=?

Q: F(x)=3x^2+2x-7 , G(x)=4x-5x^2+3x: Find G(x)-F(x)

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Q: f(x) = - 3x(x - 2)(x-2)

A: Given function is fx=-3xx-2x-2.

Q: Зх-2 p) Find the domain of the function f(x) 3D 5x2+4x-1

A:

Q: (2x² – 4 (c) Determine the values of x for which the function f(x) = }x+ 2 x< 2 2< x< 5 7 x2 5 is…

A: A function fx is continuous at x=a if the function satisfies all the following three conditions :…

Q: f(x)= 2x+5 3x-2 -19 (3x-2) f(x)=-

A: SOLUTION-

Q: Vx-2 +2 x² - 9 What is the domain of the function f(x)= A) (2,3) U (3,0) B none of the given choices

A: we have to solve the problem

Q: F(x)=3x^2+2x-4-F(x)=

A: Given:The function is,

Q: f(x)={0: x is less than or equal to -1, ax-b: -1 is less than x is less than 1, 3: x is greater than…

A: we have to find value of a and b so function to be continous

Q: Find the intercepts of the function. f(x) = (x + 4)(9x2 − 1)

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Q: F(X) = 3X+5 g(X)= 6X (Fxg)(X)= (F-g)(X)= (F+g)(4)

A: f(x) = 3x+5g(x) = 6x(F x g)(x) = F(g(x))                  = 3g(x)+5                  =3 x 6x+5…

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: The profit function P(x) = -x + 20x2 – x gives a company's total profit (in millions of U.S.…

A:

Q: f(x)=-5x g(x)=8x^2-5x-9 find (f*g)(x)

A: f(x)= -5x  g(x)= 8x2  - 5x -9

Q: F(x)=3x2-3x g(x)=-4x-3 Find f(-2) and g(4)

A: Given f(x)=3x²-3x, g(x)=-4x-3 To find f(-2) and g(4)

Q: 3 na of the function f(x) =x3 -x2 - 6x + 12, -3 < x< 3. 2

A: Solution of the problem as follows

Q: f(x) = x^2 + 4/2x What interval is the function decreasing?

A:

Q: For what value of x does the function f(x) = x³ - 2x² + x- 11 have a relative maximun A -1/3 B 1 (c)…

A: We will solve the following

Q: Example: find the extreme values of the function f(x, y) = xy – x² - y² – 2x – 2y + 4

A:

Q: 7x2 + 6x + 2 If f(x) then: f'(x) = f'(2) =

A: The given function is f(x)=7x2+6x+2x

Q: f(x) = 3X f(x) = 3* -4 -2 4

A: f(x) = 3x for x= -4 the value of f(x) is 3-4 = 181 x=-4 , f(x) = 181 for x= -2 the value of f(x) is…

Q: f(x) = 2x + 7 and g(x) = x³ + x + 13 what type of function is (f + g)(x) ?

A: Given: f(x) = 2x + 7 and g(x) = x³ + x + 13 Our task: (f + g)(x) ?

Q: Vx-2 +2 x2 - 9 What is the domain of the function f(x)=

A:

Q: P(x) = –x2 + 90x – 300 is a profit function where x is the number of items sold, and P(x) is the…

A: Given that, P(x) = –x^2 + 90x – 300 is a profit function where x is the number of items sold, and…

Q: (2x² – 4 (c) Determine the values of x for which the function f(x) = }x+ 2 x< 2 2<x<5 x 2 5 is…

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Q: Example: find the extreme values of the function f(x, y) = xy – x² -y² – 2x – 2y + 4

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Q: -f(x) = x2 +3x-40

A:

Q: f(x) = x* + x³ – 2x² What is the domain of the function given above?

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

Q: f(x) = (x-1)(x-6) g (x) =x+4

A: Given,           fx=x-1x-6 , gx=x+4

Q: f(x) = 4x + 1 g(x) = 3x - 5

A:

Q: (-3x +6 x1 x-5

A: First consider,f(x) = -3x+6; x &lt; 0Now,

Q: f(x) = -3x² + 2, g(x) = x + 2 Find f(-5) - g(-5).

A:

Q: x2-3x+4 Q2/ Find the range of the function f(x) x2+3x+4

A: Range of rational function (quadratic/quadratic)

Q: Q3) A) If you have three functions: f (x) = x² – x g(x) = 3x – 1 w(x) = x² – 2 So, find gof (x) and…

A:

Q: x+2 The functiong is defined by g (x) 2x+1 Find g (y+5).

A:

Q: f (x) = 2x² + 3x – 4, g(x) = 2x – 1. Find (g •f)(x) -

A: Given,          fx=2x2+3x-4          gx=2x-1

Q: f'(x) = -2xe f"(x) = (4x² – 2)e- f(4) (x) = 4e* f(3) (x) = -4xe-" (2x² – 3) (3 –12x² + 4x*)

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

A:

Q: Q 2/ find the value of (k) to continue the function (Vx+1-V2x f(x)= x2-x x = 1.

A: For continuity of function  Lim of f(x) at x=1 should be equal to k

Q: |3D ] B3(a): Find the critical points of the function f(x)= 7x² – 14x.

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

Q: x²+3x If f(x) = , then what is f"(1)? x +1

A:

Q: (2x² – 4 (c) Determine the values of x for which the function f(x) = }x+ 2 x< 2 2<x<5 x25 is…

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Q: V. Find the value of k that makes the function continuous. 2x2-3-15 if x + 3 if x = 3 f(x) = %3D x-3…

A:

Q: (2x² – 4 (c) Determine the values of x for which the function f(x) = }x+ 2 x< 2 2 < x < 5 x2 5 7 is…

A:

Q: 3x2 f(x)3D f'(x) (x+2)? ' 12x f"x) = – 24(x-1) (x+2)3" .Find x- and y- intercepts of the graph of f.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3.Please resubmit the question and…

Q: F(x)=2x+9,If f(x)=-27 what is x?

A: Given function: F(x)=2x+9 The objective is to find the value of "x".

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.