x² - 4 x< 2 f(x) = {2 - |x| -4 x = 2 |x - 2|-4 x>2

Q: f(x)=x-1; g(x)=2x2 Find 1. (f+g)(x) 2. (f-g)(x)

A: Given, f(x) = x - 1 g(x) = 2x2

Q: the range of g (x): 1 +4 is: X-9 R- {-4} 0 R- (9} 0 R-(4} 0 R-(-9} 0

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Q: - 2< x< -1 f(x) = {-2 -1< x< 1 .0 1< x< 2

A:

Q: x-2 Solve for the domain and range of the given function: 3-x

A:

Q: 22 -3x+2 Let h(x) = what is h' (-5)? -x2 -4x+4'

A: Given,          hx=x2-3x+2-x2-4x+4

Q: blem #1: Differentiatef (x ) = [(4 x4 -5 )(3 x2-9 x - 5 ) ]3 and solve f (2).

A:

Q: F(x)=x^2+x-8 Solve: F(x)-f(a)/x-a

A:

Q: 4 – x2 - X 3 (2х — k+h

A: For continuity, we must have the left-hand limit equal to the right-hand limit at x=2 and x=3 For…

Q: (x + 4)(x - 2) f(x) = (x+ 2) · (x - 1) 7 -0 -1 36 -2 3. -3 -7 -8 -6 -5 -43 0 -1 -2 -3 -7 -8

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Q: { x -1

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Q: 2х - 2 -1< x<0 f (x) = {-2x – 2 (5 (x+2) 0 <x<1

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Q: .2 x -4 x + 2 f(x)={ x-2 at the point x = : 2 5 x = 2 |1-x, x 1

A:

Q: x+6 if x 2

A: Given that: f(x)=32x+6x&lt;-24-x2-2≤x≤2-(x-2)2x&gt;2

Q: G(-2) if g(x) = -x^2 + 4x + 1

A:

Q: f (x) = 7x^2 - (3 x) + 1 and g(x) = 8 x - 2 Find f (1) = and g(- 1) =

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Q: g(x) =   5x + 1      find g-1(x)                2x - 6

A: Given gx=5x+12x-6 To find g-1x:

Q: f(x) = 3x + 8 f(x) = - 2 *= 2 f(x) = -x? + 3x +9 x= -6

A: As per our guideline we are supposed to be answer only three subpart of question you can repost…

Q: f(x) = x^2 - 12x + 35 g(x)= x -5 (f+g)(-4) = (f-g) (-5) =

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Q: F(x)=4x^2-9 Solve: F(x)-f(a)/x-a

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Q: The profit function of Acrosonic company is given by P(x)=-0.02x^2+300x-200,000 dollars, where x is…

A:

Q: f ( x ) = x ^ { 2 } - 4 x - 12

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Q: f(x)={x2-9/x-3 if x is not 3.  7 if x=3

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Q: 1. f(x) = x², g(x) = 6-x 2. f(x) = x+ + 2x², 3. f(x) = 3+√√2x_g(x)=x-1 g(x) = 6x²

A: Since you have posted multiple subparts question in this question so i have solved the first three…

Q: X-2 9) f(x) = %3D x2 - x - 30

A:

Q: èrentiate f(x) = [(4x³ – 1)(8x² + 6x – 3)]° and solve f'(2).

A: Given f(x)=4x3-18x2+6x-33

Q: f(x) -3x + 5 -3 く x < 0 三 -3 X = 0 -2x

A: The given function is fx=-3x+5    if  -3≤x&lt;0-3            if   x=0-2x         if    x&gt;0.…

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

A:

Q: f(x)=3 x2 + 12 x - 9 and g(x)= and h(x)=9* f (h (-1/2 ) ) = |-5

A: Given f(x) = 3x2+12x-9 g(x) = x-1 h(x) = 9x

Q: x-2, xS-2 3) f(x) = %3D (-x-3, x>-2

A:

Q: find the equations of any vertical,horizontal, and slant asymptotes. Then graph the function.

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: [2-x² for x2

A: Given:

Q: f'(x)=3x^2-6x-3. =3(x-1)^2-6. For what values of x is f'(x)=0?

A: f'(x)=03(x-1)2-6=03(x-1)2=6 (x-1)2=63  (x-1)2=2 (x-1)=±2

Q: f(x)= -4x g(x)=3x-2 h(x)=x^2-6x. solve: f(x)+g(x)

A: To find the f(x)+g(x)

Q: x²+1 1 f(x) = X-1 f(x) = 1-x2

A: 1) Graph of f(x)=x2+1x-1 f(x) is well defined ∀x∈ R-{1} Domain (f) = R-{1} To graph the given…

Q: The function f(x) = -4x + 12x² + 180x – 1 is increasing on the interval ( ). It is decreasing on the…

A: The objective is  to solve the  above questions.

Q: F(x)= -2x g(x)= absolute value of x +4 h(x)= 1/x-3

A:

Q: f)-\2+1 x>-5 3x-2 xS-5 find f(-5) and f(3). x +1 x>-5

A: For f(-5)    at x=-5  first function is given so put x=-5  in first function. And for f(3)   it…

Q: - 2x + 4 f(x) find the domain of g(x) – 2x + 2 | - Given f(x) and g(x) -За + 12 - x – 3

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Q: f(x) =x² - &r+4 g (x) = 4x – 3 h(x) =x+2 1) f+g)(x) = 2) -h)(x) =

A:

Q: x -x-2 Find f"(3) if Ax)- x-2 O a) 1 O b) -1 O c) 2 d) -3

A: using quotient rule

Q: F(x) = 2x^2 -4 F(x+h)-f(x) /h =?

A:

Q: Find absolute extreme values of the function on the interval  -x^2+10x-31, 3<x<7

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Q: x +x-6 F(x)%3D at x= - x+3

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Q: 1 and g(x)=x² +2, then go fmay be expressed as x-2 axa + 2ßx + ¥ χα + βχ - β If f(x)=- g(f(x)) = =…

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Q: G(x)=3/4t+2, find G-1(1)

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Q: x-4/x+3 -  x+2/x-1 is less than or equal to 0

A: Consider the inequality

Q: (x+3)(x-1) x' - 5x² + 4x¯ x(x-4)(x-1) x'+2x-3 Given g(x)= .3 What is the domain of g?

A: (a) Simplify the given function as follows. It is known that the domain of a function is set of all…

Q: 2. -3 3. f(x)= ;x = -1

A: See the details solution in below

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.