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 -2x- 3x2 – 5x – 1 B 4x3 + x2-5х + 1 2x3 - x2 + x – 1 D) none of the given choices -2x3 – x2 + x+ 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: Let h(x) = f(x)g(x). If f(x) = -x – 4 and g(x) = In(2x? – 2x – 4), what is h' (x)? Select the…

A:

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: The critical points of the function f(æ) = 9x2 – 2x4 occur at x = 0, x = +1.20 0, a = +1.50 %3D %3D…

A:

Q: a) If g(x) = 2x + 10 and h(x) = 3x - 2, 3 Find: - g[h(x)] = and express in its simplest form b) If…

A: Since in the given question in part (b) you asked for g inverse but there is a function f so, we…

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

A:

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: 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: 1. A x)-3 x+2 and g x) - 20+5. Find fo g(5) 2. A x) - 2 x-4 and g( x)-2x+ 8. Find go f x). k-32…

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Q: 6. Determine all values of x at which the function is discontinuous. x2- 2x +5 f(x) = x2-4x 0, 4 O…

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Q: The function f(x) = 3 x*-4 x3-12 x2+1, is increasing on the interval (-00,-2)U(0,2) .A (-1,0) U (1,…

A:

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…

A:

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: What is T₂(x) centered at a = 3 for a function f(x) such that f(3) = 9, f '(3) = 8, f "(3) = 4, and…

A:

Q: -3x² + 5x – 12, x 2

A:

Q: 7. Determine the end behavior of f(x) = -2/x - 4 -8 X → o f(x) → -0 X → o f(x) → -00 В. X → o f(x) →…

A: Topic = Function correct option = D

Q: Let h(x) = f(x)g(x). If f(x) = -5a2 +5x- 4, g(2) = 3, and g'(2) = -4, what is h'(2)? %3D %3D Provide…

A: Find the derivative of h at x=2

Q: Let k(x) = f(x)g(x) h(x) If f(x) = 3x, g(x) = x – 2, and h(x) a? +x + 1, what is k' (x)? = - Select…

A:

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

A:

Q: Iff(x) = 1 %3D Зх-1 and g(x) = f-' (x), find g' (x). 1 o g'(x) = -, 3x2 o g(x) %3D뉴 1 2r2 1 o g'(x)…

A: Given f(x)=y=13x-1f-1(x):Replace x with y and solve for yx=13y-13y-1=1x3y=1x+1y=x+13x

Q: The equation for a family of functions with zeros at +3, and -1, with end behaviors from Q2→Q4 is:…

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

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: Let f (x) = 2x – 3x + 2 and g (a) = 6x 5x +2. What is the rule for (g- f) (x)? o (g – f) (x) = 4e² –…

A: 3rd Option  is true

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

A:

Q: 11. Use the given graphs of f and g to evaluate (5f(x)+3g(x)) dx |x=4 5- y = f(x)/ -4- y = g(x).- 2-…

A:

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

A:

Q: 1. Given that f(x)=x²-2x and that g(x)= Vx-15: A. State (g f)(x) and (g+f)(x).

A: We will find out the required solution.

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: 4. Find the domain of the function: g(x) = Va2 – 9 + In(x² +3x – 4) + ebr=2+ 4.x + 1 1 x2 - 5x %3D

A: Given: gx=x2-9+lnx2+3x-4+e5x-2+4x+1x2-5x-1 we know that domain for x, lnx, fxgx is given by…

Q: 2. State why the function f(z) = 2z²-3-ze²+e-² is entire.

A: Introduction: Every complex valued function corresponds to a power series. The convergence of power…

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*…

A:

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: 1. Given that f(x)=x² - 2x and that g(x)=Vx-15: A. State (g•f)(x) and (g+ f)(x).

A:

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: 3 f(x) 2dx=-3, [(g(x)-2)edx = 1 [2g(x)xx =10 and f-g(x)h =-1.2 Let 4 -2 Find [(f(x)-3)cdx

A: Given : ∫-24fx4dx = -3, ∫-20gx - 2dx = 1 , ∫432gxdx = 10 and ∫04-gxdx = -1.2   To find :…

Q: Let h(x) = f(x)g(æ). If f(x) = ln(3x² – 2x – 4) and g(x)= = 3x – 1, what is h' (x)? Select the…

A: Answer and explanation is given below...

Q: 4. Find all points of discontinuity. 17/11 a) f (x) = - x-23 x²+5x-2 b) f (x) = ? x²-9 x²+6x+9 c) f…

A: Solution

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) : = ?…

A: