y-values 8 7 6 4 3 2- 1 If f(x) f'(4) = = g(x) h(x)' then g(x) 2 3 x-values 4 y-values 4 3 2 1 h(x) 1 2 3 x-values 4

Q: 23. If f(5) = 4, fi(5) = –1, g(5) = 2, and g/(5) = -3, find h/(5) for each of the following…

A: Given:

Q: FX)=f(f(x))and G(x)= (F(x) F(4)=13f(13 )=3 f(13)=6f(4)=6 OF(4)- G'(4)=

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Q: 1 f(x) = 1. a = -2 x + 2 1 if x + -2 2. f(x) = x + 2 a = -2 1 if x = -2 + 3 if x -1

A: See the attachment

Q: y3 f(x) 4. 4. y g(x) 3. 3. 2. 2. 3. 67. (a) (f + g)(3) (b) (f/g)(2)

A: The graph of the functions f and g are

Q: y y (x₁, y₁) f'(x₁) = ? ******** y = f(x) = ? (x₁, Yi) X y = f(x) ४ ✓ Choose... Ordinary…

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Q: 10) Calculate; Let f(x) = 3x + 1, g(x) = 4x-7 a) f(3) + g(4) b) f(x)-g(x) c) f(2)* g(-3)

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Q: f(x) 3 f(g(0)) = 2 3 9(f(4)) = -1 4 5 g(x) f(f(2)) g(9(5)) = %3D 3-

A: We will find all the values as following.

Q: 2. {(-2,4), (-3,4), (-4,4)} 3. f(x) = 4x + 5 4. N 2 y=5

A: Topic:- function Definition :- If a variable y is so related to a variable x that whenever a…

Q: T T 5x1 - x2-x3 (:))-[-²] x1 + 5x3 x1 x2 X3 3 Ex: 5 (*))] 2 Ex: 5 -4

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Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

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: 4x-1 if-4sxs2 If f(x) = find: (a) f(0). (b) f(1). (c) f(2), and (d) f(5). x'-2 if 2<xs 5 (a) f(0) =|…

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Q: 3. Let h(x) = 2x - 3 and g(x) = 5 - x   a) Find h( g(2) ) b) Find h( h(x) )

A: 3. Let h(x) = 2x - 3 and g(x) = 5 - x (a) Find h( g(2) ) (b) Find h( h(x) )

Q: K 19. (fog)(x) 21. (gof)(x) If f(x) = -3x² and g(x) = 9x + 2, find: 20. (fog) (5) 22. (gof) (-2)

A: Given functions: fx=-3x2 and gx=9x+2.   Note: As per our guidelines, we are supposed to answer only…

Q: 3. 5. 17. (f+g) (x) (f-g) (x) (fg) (x) If f(x) = 4x² + 3x -1 and g(x) = -8x + 5, find: (f+g) (-1)…

A: Since you have posted question with multiple parts. As per guidelines, we are supposed to answer…

Q: 4. y = (4t2 - t)(t³ – 8t² + 12) 5. h(z) = (1+ 2z + 3z?)(5z + 8z² – z³) %3D - %3D

A: To differentiate the following functions.4 y=4t2-tt3-8t2+125 hz=1+2z+3z25z+8z2-z3

Q: 5. If f(x) = 2 x + 3 a) f-¹(g(x)) and g(x) = 21, find b) the domain and range of f-¹(g(x))

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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: 4+ (-1.9, 2.8) f(x) = x - 3x - x 5 -4 -3-2 -1 1 2 3 4 -3- -4 (a) (b) gure 3.21 (a) One section of…

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

Q: Given that f(x) = x² − 9x and g(x) = x + 9, find (a) (f + g)(x)= (b) (f-g)(x)- (c) (fg)(x)= (ª) (4)…

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Q: Which of these functions has a y-intercept of (0,9) ○ A) ƒ(x) = 9x² + 4x + 2 B) f(x) = 9(x-3) (x +…

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Q: If f(x) = z + 5 and g(z) = z - 5, (a) f(9(x)) (b) 9(f(x)) (c) Thus g(z) is called an function of…

A: Given f(x)=x+5 and g(x)=x-5. a. f(g(x)) As g(x)=x-5 we will substitute the value in place of g(x)…

Q: If h(x) = (f.g)(x) and f(2) = 5, f'(2) = 3, g(2) = 1, g'(2) = -1 Then h' (2) = -20 - 7 – 2 - 6

A: Given  h(x) =(f.g)(x) And f(2)=5,f'(2)=3 g(2)=1,g'(2)=-1

Q: values

A: We will find the value of x between 0&lt;x&lt;10.

Q: QUESTION 7 Find and simplify the difference quotient x + h)-fixl, hr0 for the given function. fx) =…

A: Difference quotient

Q: x4 5 7) f(x) = In Differentiate. 10) y = 7X

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Q: f(x) = x – 1 m(x) = 3x + 2 h(x) = -4 g(x) = x2 – 5x + 4 4. (m • g)(x) 5. (mof)(x) 6. (g - f)(x)

A: (m×g)(x)=m(x)×g(x)given:m(x)=3x+2 and g(x)=x2-5x+4(m×g)(x)=(3x+2)(x2-5x+4)=3x3-13x2+2x+8

Q: 1. (f+g)(4) 2. (f little circle g) (2)

A: Given,          The graph of two function fx and gx are shown below :

Q: If f(x) = 3x - 4 and g(x) = 6x² + 8x +1 find 1. f-g (x) 2. g + f (3) 3. f* g (5)

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Q: 5. If f(x) = (r+ 1)(x-2) x-2 and g(x) = x+1, does f(x) = g(r)? Explain.

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Q: 1.Find g(f(4)) 2. Find f(h(5)) 3. Find h(f(-2)) 4. Find f(g(x))

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Q: For f (x)=xl-2, then f(-2) =0 صواب

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