Which of the following define the function (f -h+ g)(x) given f(x) = x3 – 2x, g(x) = x2 + 3x +1 and h(x) = 3x3 +2x² A 4x3 + x2 - 5x +1 B none of the given choices -2x3 – x2 + x +1 D 2x3 – x2 + x- 1 E) -2x- 3x2 – 5x - 1

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

A: h(x) = (x-2)x-2 ≥ 0 because square root of -ve number is not defined or a imaginary number.x-2 ≥ 0 x…

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: Let h(x) = f(x)g(x). If f(x) = 4x² – 3x and g(x) = In(3x – 1), what is h' (x)? Select the correct…

A: The given functions are fx=4x2-3x and gx=ln3x-1. Here,  hx=4x2-3xln3x-1.

Q: ) Given that f(x) = 3x - 2  g(x) = 4x + 6   and h(x) = 2x2 - 8…

A: As per guideline we have to solve only one. We have to find function  value

Q: Find (f−g)(x) if f(x)=−3x2+2x−3 and g(x)=2x2−3x+4. Choose from the answers below.…

A: On solving this we will get

Q: Let h(x)=f(x)/g(x), where f(x)=x+1 and g(x)=x2+3x−2. What is h′(x)?

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Q: 2. Let f: R → R be the quadratic function defined by f(x) = 3x² – 12x + 15. Vertex and Axis of…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Find (f/g) (n) when f(n) = x^2 - 3x - 4 and g(n) = x + 1 _____________________ A. x + 2 B. x - 1 C.…

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Q: 4. Determine the number of x-intercepts that appear on a graph of each function. a.) f(x) = (x +…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: (r-1) (x-1) If f(x) = (2x+5) and g(x) = then the function (2) (x) is (2x-5) (2x+5) a) (E) (x) =…

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Q: 5. The x-intercepts of the function f(x) = 2x² – 4x – 6 are %3D (1) (3) 3 and 1 -3 and 1 (2) (4) 3…

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: 3. Use the graph of y = f(x) to graph y = -f(x – 4) – 1. 3 y = f(x) -5-4-32-1 1 2 3 4 4. Determine…

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Q: 3. Let f(x) = x2 + x + 3, g(x) = 5x +3 а. f(4x) and h(x) = 2x² – 4x + 1. Find the following: b.…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: For f(x) = (x2- 1) / (x + 4). Find (i) f(1)      ii) f(-x)        (iii) f(2x)

A: as per our guidelines I  am solving only first question with all three parts please resubmit other…

Q: i) f(-4) =                      ii) h[f(-6)] =                  iii) f[g(-2)]  =

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: If f'(x) = x(x- 2)(x+1), then the graph of f has points of inflec- tion when x = A. -2 and 1 B. 2…

A: f''(x)= x(x-2)(x+1)2  To find the points of inflection of function f  A. -2 and 1 B. 2 and -1 C. 2…

Q: Let h(x) = f(x)g(x). If f(x) = -x - 4 and g(x) = In(2x2 – 2x – 4), what is h'(x)? %3D Select the…

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Q: 1. a) If f(x) = x-2x + 1 and g(x) =1, find f( g(-2) %3D

A: givenfx=x3-2x+1  and gx=1x2

Q: Let h(x) = f(x) %3D where f (x) = In(3x² + 2x + 2) and g(x) = -2x. What is h' (x)? g(x)' Select the…

A: We have to find the derivative of h(x).

Q: 1. Use f(x) = 5-x and g(x): to find the following and identify its domain: %3D x-2 a) (f g)(x) b)…

A:

Q: What is the relative maximum value of the function f(x) = x³ – 6x² + 9x – 12? O f(x) has a relative…

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Q: -3x² + 5x – 12, x 2

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Q: 3.2. Show, using the two properties that define a linear function, whether each of the following…

A: Solution: (3.2) Functions are linear: (i) fx1;x2=5x1+lne6x2 Now, fx1+y1;x2+y2=5x1+y1+lne6x2+y2…

Q: 3. Find (f g)(2) if f(x) = x² + a +1 and g(x) = x- x- 1. %3D %3D O (f 9)(x) = a* + 2 + 3x +2x +1 O…

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Q: 9. Suppose f(x)=x²-14x+49 and g(x)=x-7 . At which of these points does the function y=f(x) g(x) have…

A: The hole in the graph of the function: y=f(x) is the value of x for which the function is not…

Q: Let h(x)=f(x)g(x). If f(x)=4x^2−4x+4,g(−1)=2, and g′(−1)=0, what is h′(−1)? Do not include…

A: Given, h(x)=f(x)g(x), f(x)=4x2−4x+4, g(−1)=2  and g′(−1)=0 f(-1) = 4-4+4 = 4 f'(x) = 8x-4 ∴ f'(-1)=…

Q: 2. Given the functions f (x) = 2x2 - 7x -3, g(x) = x² - 6x +9, h(x) = x² +x-6 and j(x) = 2x? – 5x +…

A: Given  f(x)=2x2-7x-3g(x)=x2-6x+9h(x)=x2+x-6j(x)=2x2-5x+2

Q: 14. If f(x)= x+4 and h(x)= 4x-1, find function g(x) such that gof =h. %3D

A: Given that , fx=x+4 and nx=4x-1We have to find gx such that got=h

Q: given that f(x) =3x+7   g(x)=4x+5      and h(x)= 3x-5…

A:

Q: Let h(x) f(x) where f(x) = In(3x2 + 2x + 2) and g(x) = -2x. What is h' (x)? g(x)' Select the correct…

A:

Q: 11. Decide algebraically if the functions given below are even, odd, or neither. a) f(x) = -7x - 3x3…

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Q: Consider the compound function:             (x - 2)3 for x less than or equal to 2 h(x) =  |x| for…

A:

Q: Let h(x)=f(x)g(x) where f(x)=−3x2+4x−1 and g(x)=−x2+4x+3. What is h′(4)? Do not include "h′(4)=" in…

A:

Q: Given that f(x) = 3x – 2 g(x) = 4x + 6 and h(x) = 2x2  -8…

A: Since you have posted a question with multiple sub-parts, I will solve the first three subparts for…

Q: 9. Let f(x) = 4x² - 2x, 2 √3x- x - 6, 2, Find a) f(-1) b) f(3) c) f (8) d) f(1) e) f (6) x ≤ 1 1<x<…

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Q: Please show step-by-step solution

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Q: 1) The function f(x) = x3 - 4x-8.95 has a root in [2,3]. O T F

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Q: ) Given that f(x) = 2x + 5  g(x) = 2x – 6 /  x and  h(x) = x2 – 5  Find:- i) f(-4) = ii) h[f(-6)]…

A: Function value and it's composition

Q: 7. Find the domain of the functions. a. g(x) = 4 +x – V3 – 5x. 7x3-x²+16 b. f(x) х2-21х-100 In(7-3x)…

A: 7 a Given function is : gx=4+x-3-5x For function gx to be defined if , 3-5x≥0-5x≥-3x≤35   Thus , the…

Q: f(x) Let f(x) = 8x3 – 22x² – 4 and g(x) = 4x – 3. Find g(x) - 13 O 2x2 – 4x – 3 - 4x - 3 4x - 3 O…

A: We will solve the problem

Q: Let h(x) = f(x)g(x). If f (x) = 3x² – x – 4 and g(x) = -x² + 2, what is h' (-1)?

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Q: The function h(x)=1x+7h(x)=1x+7 can be expressed in the form f(g(x))f(g(x)) where…

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Q: 5. Given f(x) = x² -2x +3 and g(x) = Vx² +5, find (f og)(x). x2 -2Vx2 +5 x² +8-2 x -5 b. x -8-2Vx*…

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Q: quadratic function is defined by f (x) = 3x + 12x – 63. Which of the following expresses f(x) as the…

A: Given that:f(x)=3x2+12x-63

Q: Find the X-coordinate of the points of intersection of the graphs of two functions. f (x) = x² – 11x…

A: Find the x-coordinate of the points of intersection of the graphs of two functions.…

Q: For what values of the constant c is the function f continuous everywhere? f(x)={ cx^2-4x if x<-2…

A: The given data is: fx=cx2-4x, if x&lt;-25x3-c2x, if x≥-2 To find the value of c if the given…

Q: Given that f(x) = 2x + 5  g(x) = 2x – 6/x  and h(x) = x2 – 5     Find:- i) f(-4) =  ( ii) h[f(-6)] =…

A: As per the instruction, we will be answering only the first three subparts. Given: f(x) = 2x + 5…

Q: Discuss the continuity of the function f(x) = {x2 − 3x if x &lt; 22x + 4 if x ≥ 2on the open…

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Q: B. m(x) = D. h(x) = x+2 x²-4 28. What is the removable discontinuity of x²-4 the function f(x) : = ?…

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Q: Let h(x) = f(x)g(x). If f(x) = –3x² + 2x – 3 and g(x) = –3x² + 4x + 3, what is h' (1)? Do not…

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