Express the given function h as a composition of two functions f and g so that h(x) = (fo g)(x), where one of the functions is 5x - 8. h(x) = (5x- 8) f(x) = g(x) =

Q: Find the function h given h'(x) = ÷- + 2; h(1) = 0 3x x2+1

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Q: Find f ' (x). f(x)= (x5+2x)(2x3+4x-5)

A: Product Rule: If f(x) and g(x) are two differentiable functions, then Consider the function f(x) =…

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

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Q: If c is a non zero constant then the function is always differentiable x2 + c2

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Q: f (x + h) – f(x) - With f(x) = 5x² – 3x + 2, find h

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Q: Find (f-g)(x). Simplify the result. f(x) = x²-6x + 3 g(x) = 3x2 - 5

A: Given that, fx=x2-6x+3 and gx=3x2-5.

Q: Z-X 1 f(x) = X +9 f'(x) = ロ

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Q: snip

A: Make the changes function in the  function (f+g)(x) by adding and subtracting terms such that…

Q: f(x) = √√√5x - 2, g(x) = x² - 25, and h(x) (fh)(x) = 1 x - 3

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Q: Solve f(x) is greater than or equal ro 0 f(x) = x2 + 6x - 7 over x2 -10x + 25

A: We have to solve for the function f(x) when f(x)≥0. Given function -  f(x)= x2 + 6x - 7x2 -10x + 25

Q: f(x) = 32x − 8x2 find the critical numbers of the function.

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Q: Find (fo g)(x). f(x) = 5x - 2, g(x) = – x² + 4x -1 O-5x2 +20x - 7 %3D | -25x2 + 40x - 13 5x +20x -7…

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Q: Let h(x)=f(x)g(x) where f(x)=2x2−4x, g(−2)=4, and g′(−2)=−5 what is h′(−2)?

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Q: Find the x- and y-intercepts for the function. x2 + 4x + 3 x2 + 11x + 28 f(x) x-intercept (x, y)…

A: Consider the function, fx=x2+4x+3x2+11x+28

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

A: Solution of the problem as follows

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

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Q: f(x)=−4x+4​,g(x)=−5x2+5x−4​,andh(x)=−3x2+8​, find h(−1​).

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Q: 3. Given f(x) = -7x-8-4sin(8)- 3e-6x – 4n² then determine the defining equation of f(x).

A: To determine the defining equation of f(x) from f'(x), we integrate f'(x) with respect to x.

Q: f(x) = x² = x- and g(x)=x+2

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

Q: 2. If f(x) = g(x) × h(x) and f'(x) = -2(x – 7) + 1(-2x – 6) , find a possible equation for f(x)

A: see below the answer and explanation

Q: Graph each function.

A: The zeros of a function are the point where the function value is equal to 0. These points are also…

Q: The domain of the function /1- a² – y² ln(a² + y2 – 1) is empty. True False

A: We have to check

Q: Determine the values of x for which the function is differentiable. y = -6x + 6

A: To find the values of x for which the function is differentiable.

Q: Rewrite h(x)=- Vx+3 in terms of f and g. 3.

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Q: B. Find the domain of 1. h(x) = (x – 2) (x 2 -2 x + 1) 2. (x – 1)(x + 3) 1 and g(x) : x + 3 -1 3. If…

A: Domain is the set of all possible values of x (independent variable) for the function.

Q: f(x) = 15- (3-t)(r - 8t + 7)

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Q: 2. Find the Domain of the function: h (x) = 4x x (x² – 9)

A: Given function h(x)=4xx(x2-9)

Q: f(x) = g(x) + h(x), where g(x) = 2x 4 + 12x2 + 4 and h(x) = -5x 3 - 3x

A: Given gx=2x4+12x2+4hx=-5x3-3x fx=gx+hx

Q: Find f, f'(x) = 20x3 + (1)/(x), x &gt; 0, f(1) = -3 f(x) =

A: Givenf'x = 20x3 + 1x, x &gt; 0, f1 = −3

Q: Find f'(x) for f(x) = e* - 5x.

A: Given : fx =e4x2-5x

Q: Find the range of f(x)=x-5x+6. O [-1/4, 0)

A: The given function is:fx=x2-5x+6To find the range

Q: (c) Find f-1. f-1(x) = X , x20

A: We plug f(x)=y then switch x and y. f(x)=x+4y=x+4x=y+4

Q: 8. Find (f+g)(x). f(x) = 5x² – 9x + 8 g(x) = &r2-7x + 2 A) (f+g)(x)= 13x - 16x + 10 B) (f+g)(x)=-3x…

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Q: x²-1 3. f(x) = -1;ƒ' (1) 2x+1

A: Solution is given below:

Q: Find (f - g)(x) if f(z) = 5z + 1 g(z) = 4x- 2

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Q: Given the functions g(x) = 5x - 2 find g-1(x)                                               4x + 3

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Q: Describe the end behavior for this fucntion F(x)=x^4-2x^2+3

A: The given function f(x)=x4-2x2+3

Q: 10. Given the functions /(x) = 3x² + 2x + x+1 and g(x) = 2x² – 1, find (f - 9)x. a 3x +x b. 3x +x+2…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find h'(-3) if h(x)=4g(x)-5f(x), f(-3)-7,and g'(-3)=-2. Oh'(-3)-0

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Q: 5. f '(x) = 7x + + – x³ find f(x) if f(0) = 7 -

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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)=x^4-x^3-12x^2

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Q: 15) f(x)= x² – 3x g(x) = 4x Find (f – g)(-1)

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Q: Find (f-1)'(a). f(x) = V 3x3 + 3x2 + 2x + 1, a = 3 (f-1)'(a) =

A: inverse function derivative

Q: Given f(x) = 3x- 5x+4, g(x) =- 3.x and h(x) = V2-x , find x-2 a) f(3), f(-3), g(2), g(-2), h(1),…

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Q: = x, find (f o g-3). Given that f(x)=2x+3 and g(x) (fo gX-3)-

A: (fog)(-3)=f(g(-3))

Q: Find (f-1)' (a)   f(x)  = x3 + 3Sin x  + 2Cos x  , a= 2

A: Given expression: fx=x3+3sinx+2cosx Differentiate the above expression w.r.t 'x'…

Q: find the value of f(-1) and f(3) y={3x+1      if x<3} {x^2      if x≥3}

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Q: f(x)= (x)/(x-2) AND g(x)= (6)/(x2-1), find f(g(x)) and its domain

A: We have given the functions

Q: Find f (x) given f "(x)= 6x² +8x³ – x and the initial condition f(-1)=- 2

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