Evaluate. f (x) = a +5 g (x) is as described in the table below, 1 2 3 4 7 8 10 9(x) 2 6 12 20 30 42 56 72 90 110 Find (fog) (9). A 12 в 95 25 D 17

Q: 4. f (x) = 5 - x and (gof) (x) = x2-10x + 30 since the function g(x) is the following- which is…

A: The solution is:

Q: 6. If f(x) satisfies 0 < f(x) < x for 1 < x < 3, what is the maximum possible value of the average…

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Q: D. Differentiate the following. a. f(x) = 4x³ – 5x² + x + 8 b. g(x) = x" -* -*+* + vZ c. h(x) = v9x°…

A: (a) To find: The derivative of fx=4x5-5x3+x+8. Formula used: Power rule of derivative: xn'=n·xn-1…

Q: #2 Given: F(x) = 2x 2+ 1, G(x) = 2x - 1, H(x) = x F(-2) = 9 -7 17

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Q: Based on the table below, 6 7 3| 20 8 9 82 96 1 2 3 4 f(x) 97 89 7 100 13 53 Evaluate f(3) f(3) =…

A: f(3) represents the value of the function at x=3. Therefore, from the given table value of function…

Q: 4. Let f(x) = e3h(x) and g(x) = h(e3"). Find f'(7) and g'(2) given that h(7) = 2, h'(7) = 4, h'(e) =…

A: We have to find

Q: The following is a partial table of values for f = f(x). what is the value of f(5)? f = f(x) 5.4 4.4…

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Q: Let h(x)=f(x)−g(x). If f(x)=9x^2 and g(x)=8x, what is h′(−5)?

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Q: The table shows values for functions f(x) and g(x). f(x) g(x) 1 14 14 3 -2 -4 -3 7 7 9. 11 11 -3…

A: NOTE: Refresh your page if you can't see any equations. . the given table is  x f(x) g(x) 1 14…

Q: Let h(x) = V4+ 3f(x) with f(1) = 7 and f'(1) = 4. Find the value of h'(1).

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Q: 4. Compare and contrast f(x) and g(x). g(x) ={-x - 3, when r< -2 (x+ 1, when x2-2 f(x) = |x + 2| + 1

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Q: Based on the table below, x 0 1 2 3 4 5 6 7 8 9 f(x) 35 56 34 23 3 71 43 2 82 19 Evaluate f(2)…

A: The given table is- x 0 1 2 3 4 5 6 7 8 9 f(x) 35 56 34 23 3 71 43 2 82 19 The above table…

Q: C.X+1 d. x-1 8. If f(x) =x and g(x) = x+ 1, what is (fo g)(x)? C.x-1 7. If f(x)=x and g(x) = x+ 1,…

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Q: 2. Consider the functions f(x) = 2x² – 7x + 4 and g(x) = -7x +5. %3D a) Find f(-1). b) Find g(r -…

A: Given f(x)=2x2-7x+4f(-1)=2(-1)2-7(-1)+4         =2+7+4         =13Therefore f(-1)=13

Q: 6. Given the function f (x) = x² + x - 3, find f (x + 1) 7. h(x) = 2×+ 1, find h(3) 1 8. Given f (x)…

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Q: Find the following using the table below. 1 2 3 4 f(x) f' (x) g(æ) 1 3 4 2 1 2 4 3 2 4 1 2 3 4 (x),…

A: We have to use application of derivative here.

Q: 60 54 48 42 36 30 24 18 12 -4 -3 -2 -1 For the above function f( x ) = 8· 0.6", estimate f'(x) using…

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Q: 6. Match the appropriate function to this table. F(x) 1. 5.41 5.73 4 6.24 A. 4 +x B. Vx + 4 C. V4x…

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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: 4) Given the functions below, evaluate ((f – g) o h) (2). f (x) = 2x g(x) = 3x h(x) = x² +1

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Q: 1 For what, if any, values of a will f"(x) = 0 if f(x) = + x – 2.r2 + 17? %3D -3 V21 3土V21 3 3 O…

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Q: 3) Using the table below, Ax) g(x) | f '(x) g'(x) -1 3 2 1 3 2 -1 1 a) If b(x) = f (x)'g(x), find…

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

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Q: 3. 96 2. 1 2. 4 f(x) 1 -1 1 3. g(x) 0. 2. 1 4 Use the tables above to find the following: a) f-1(5)…

A: To find: Calculation:   Therefore,

Q: GIVEN X f Xm<cf 35 - 416 42 - 485 49 - 55 12 56 - 62 10 63 - 69 12 70 - 767 77 - 835 84 - 903

A: The objective is to find mean,median ,mode. multipart comment.

Q: 12. Given f(x) = 2x3 + 11x + 2 and g(x) = x³ - 2x2 + 7, find (f - g)(x). %3D A. x3-9x2 + 11x + 9 B.…

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Q: 10. Given the function h(x) a) h(3) b) h(9) h(9) – h(3) = 2x + 7, find d) h'(3) e) h(9) h- (9) –…

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Q: Determine f'(x) if f(x) = ln(e²x) а. 1 b. 2 с. 2х d. e2x e. 2e-2r Determine f'(1) if f(x) = (x² –…

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Q: Based on the table below, 1 2 3 4 5 6 7 8 9. f(x) 11 54 5 81 8 40 97 47 23 58 Evaluate f(5) f(5) =…

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Q: 4x If f(x) = and x + 3 x +1 g(æ) = , then (fo g)(x) is 5x 4х + 4 16х + 1 4х + 1 16х + 1 4х + 5 16х +…

A: Answer

Q: 14. Use the following table to find the value of h '(3) if h(x) = g[f(x)]: 2 3 4 f(x) 5 4 6 g(x) 4 2…

A: solution:-h(x)=gf(x)h'(x)=g'f(x)·f'(x)       {chain rule}

Q: Given that f(m) = a"h(x) h(- 1) = 4 h'(-1) = 7 Calculate f'(- 1).

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Q: 1. If h(x) = (f(x))² – (g(x))² , f' (x) = -g(x) and g' (x) = f(x), then h'(x) = (a) 0 (b) –4f(x).…

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Q: 4 If f (x) = 5, and g(x) = f¯'(x), what is g' (x) ? x-3 o gʻ(x) = 2 x2 o gʻ(x) = - 1 x2 o g'(x) = -…

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Q: 2. Find the measure of <F. E m/F = (8x- 18)° (6x-4)° (5x-7)

A: Sum of all the angles of the triangle is 180 degrees.…

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…

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Q: 10 Q4 For the functions f(x) = 7x + 4, h(x) =-3 and g(x) = 3x-2 (a) Evaluate (1) g(4) (ii) h{g(4)}…

A: It is given that fx=7x+4,  hx=10x-3,  and  gx=3x-2. (a) Evaluate: (i) Find the value of g4.…

Q: Explain how the graph of g is obtained from the graph of f.

A: a. f(x)=x3, g(x)=(x-4)3 b. f(x)=x3 , g(x)=x3-4

Q: f(x) 0.23 0.4 0.02 0.3 0.05 Find the mean of g(X) given g(X) = (2X - 5)

A: Given : x 3 4 5 6 7 f(x) 0.23 0.4 0.02 0.3 0.05

Q: 4 given that g(2) =1 and g'(2)= - 5, what is F'(2)? If F(x)= g(x)*

A: Just use the quotient rule of derivative and get the required solution. F'(2)=20

Q: 1 Consider the function f(x) = 5 – x - Complete the following table of values, in which x< 5. 3 4…

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Q: f(x) g(x) 9. 1 6. 4 4 1 6. 8. 2 8 9. 8. 1 54 27 6, 3. 2. 3.

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Q: Find functions f and g so that h(x) = (f g)(x). 8 3) h(x)= N8x+2 A) f(x) =8/x, g(x) = 8x+2 C) f(x)…

A: We have to find f and g so that  hx=fogx Now, hx=88x+2 we know that composite function fogx=fgx…

Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 find 1. h[f(1)] 2.…

A: Given that f(x) = {(- 2, 1), (1, 4), (2, 5), (3, 6)} g(x) = 6 + 4x h(x) = - x 2 + 2 1. h[f(1)]/7 =…

Q: Suppose h(x) = f(g(x)). Given the table of values below, determine h' (-1). %3D f(x) g(x) | f'(x)…

A: Given

Q: 6. What is (fog)(11) if f(x) = V- 3 and g(z) = z-7? O (fog)(11) = 3/2-3 O (fog)(11) = VII - 10 O (fo…

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Q: 8. Given the functions f(x) = 2x +5 and g(x) = x² - 4, find (f +g)x. a. 2x + 5x - 8x – 20 b. 2x - 5x…

A: As per our guidelines we are supposed to answer only one question i.e. the question no (8). For the…

Q: 5. Let f(x) = ab". Determine the constant b so that f(-1) = 10 and f(2) = :.

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Q: 5) Given f(x) = 5x – 2 and h(x)= 3x² – 4x + 12, a) Find f(x) – h(x) b) Find [f(x)]? c) Evaluate h(3)…

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