Based on the following information, what is g(x)? fog)(x) = x and X- 1 f(x)= 2 Ох-2 O x + 2 O 2x - 1 O 2x + 1

Q: 1 If f(x) = xī, then f'(x) is equal to %3D

A:

Q: Consider the function f(x)=xe−9x,0≤x≤2. On this interval, ff has a minimum value equal to: which is…

A: Given fx=xe-9x 0≤x≤2

Q: Use the table below to compute h'(-1) for h(x) = f(x) g(). (E) (), (1)6 () 1/2 -2 2 1 -3 1 2 1 4. -1…

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Q: Based on the following information, what is g(x)? (fog)(x) = x and X- 1 f(x) = 2 O 2x + 1 O x- 2 O…

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Q: I. Solve the following problems on functions. 1. If g(x)= v36 - x² , find g(0), g( - 3), g(=), g(2y)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 2 47) Use the graph of f(x) shown to the right to solve: a) f(x)-0 b) f(x)<0 y-f(x)

A: a) Consider the given function to be y = f(x). Solve the equation f(x) = 0 using the given graph as…

Q: (;) 9 and () ). For the functions f (x) = 4x4 – 19x³ – 10x2 + 35x – 50 and g(x) = x – 5, find E) (x)…

A: Consider the provided functions, fx=4x4-19x3-10x2+35x-50    and    gx=x-5 Find the value of fgx…

Q: On what interval(s) is the function g(x) = −x¹ − 2x² increasing and concave down? To advance in the…

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Q: Suppose g'(x)=sec^2(x) and g(0) = 0. What is g(x)?

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Q: Use the table below to compute h'(2) for h(x) = f(x) g(x). VO 9(z) f'(E) g(z) -2 1/2 1 1 -3 2 1 4 -1…

A: The function h(x) is the product of the functions f(x) and g(x) . The differential rule of product…

Q: Find the indefinite intergral of 1/(e^x -1)

A: To Find the indefinite intergral of 1/(e^x -1)

Q: This does not make alot of sense. If applying the definition how does the e^-st get moved outside as…

A:

Q: Let h(x) = f(z) where f(x) = ln(3x² + 2x +2) and g(x) = -2x. What is h' (x)?

A: hx=fxgx=ln3x2+2x+2-2xf(x)=ln3x2+2x+2 Differentiate f with respect to x…

Q: (a): Find the value of k that makes function continuous at x = 4 f (x) = 7x S2x + 7 x > 4 k x < 4…

A: We will use the definition of continuity at a point to find the value of k

Q: Given that f(x) = 3x – 1, g(x) = 2x and h(x) = x + 1, determine: a. hgf(x)  b. hgf(-2

A: Given : f(x) = 3x-1             g(x) = 2x             h(x) = x+1  To Find : hgf(x)…

Q: 9. Given f(x) =-Vx – 3 and g(x) = x² + 3x + 4, what is the domain of z(x) = f(x) – g(x)?

A: 9. The functions area given by fx = -x-3 and gx = x2+3x+4 To evaluate: The domain of the function zx…

Q: Find the critical numbers of the function. (E F(x) = x4/5(x – 5)² %3D

A:

Q: 3. Consider the following functions: f(z)) = x² + 16 9(=)) = (x – 16)² h((x)) = (x + 1)² – 16…

A: Given: f(x)=x2+16g(x)=(x-16)2 and h(x)=(x+1)2-16

Q: 2h

A: f(x) = 1+3x-x² So, putting, x = 2h, we get,

Q: For what value of c is the function f(x) = = C= C 7 2-4 (x+2)(x-3) x==2 x = 1 otherwise continuous…

A: Given :fx=c,      x=-27,        x=1x2-4x+2x-3   otherwise

Q: Let f(x)= 2x ; 0<x<1. Find E(3X+5)

A: Given, f(x)=2x   ;0&lt;X&lt;1

Q: 1. Use the function f(x) = 4x°e* to answer the following problems: (a) On which interval(s) is the…

A: The given function is: fx=4x3 ex (a) To find the interval in which the function f(x) increasing?

Q: 8. Given the function h(x)=Vx² - 4 +Vx+2, find h(2), h(0), and h(-x).

A: h(x) is given. We have to find h(2), h(0) and h(-x)

Q: i) Determine the domain of the Following finctions @ f(x) = Sx²+7x+ 2 - Sx°+7x + 2 Oy - log (xt3)…

A: We have to find domain

Q: use Newtown-rapshon method's to approximate the real solution of the following function:…

A: To use newton raphson method to approximate the solution of F(x)=(e-x)-x ,x0=0

Q: 2.Find an example different from the one in the text showing that (f ∗ 1)(t) need not be equal to…

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Q: Find a general formula for f (n)(x). f (x) = x−1/2

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Q: For what value of the constant c is the function f continuous on (-o S cx2 + 8x x3 – cx if x 3 с 3

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Q: Find a general formula for f^n. f(x)=7x^2 e^x

A: Consider the given function fx=7x2ex. In order to find the nth derivative f'n, differentiate the…

Q: Let h(x)=f(x)g(x), where f(x)=ln(4x2−3x) and g(x)=3x−1. What is h′(x)?

A: GIVEN,     f(x) =ln (4x2-3x)                  g(x)  = 3x-1                  h(x) = f(x) g(x)

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

A: Here we use quotient rule, which is pq'=p'q-pq'q2

Q: Find f by solving the initial-value problem. 5 f'(x) = f(1) = 17 %3D %3D f(x) =

A:

Q: An)(a) for f(x) = 1 at a = 4 for n2 1? Using your answer from Problem 9, what is /2x+1

A: As per bartleby guidlines only first one question is to be done.

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A:

Q: Find fogo h. f(x) = x – 8, g(x) = /x, h(x) = x – 8 %3D

A: Given that: f(x)=x-8g(x)=xh(x)=x-8

Q: 1. If f(x) = x² – 2, compute the following: a) f(1) = b) f(1+h) = c) f(1+ h) – f(1) h Bring your…

A: As per the guidelines we have to solve only one question

Q: Find G'(x). In(9) G(x) = (4e- 7t + 1) dt G'(x) =

A: Given query is to find the derivative of the expression.

Q: 1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A:

Q: Evaluate: g(f(-3)) y fx) y = g(x) 10 10 6. 3 3456789 10 10-9-87-6 "5 -2 -1 2345678 9 10 -2 -4 to

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Q: course repeater claims that his brother who did some Calculus at college years ago, but currently on…

A: Given: fx=2x2-1x2+3x2+1 gx=x2+872-3x25 The objective is to check given first order derivative of…

Q: The antiderivative of the function f (x) = 3(x³ – 1)² (3x²) is F (x) O ( - 1)° (9x²) 3(x³ – 1) (x³ –…

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Q: What is f'(x) if ef(e) = 1 + x² ? O 2x 1+x² ○ 2x(1+x²) ○ 2x(e¹+x²) 1 1+x²

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Q: Use the table below to compute h'(2) for h(x) = 5 - 5f(x). If(x) -2 g(z) f'(E) (=) 1/2 1 0. 2 1 -3 1…

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Q: Find the critical points of the given function. a) f(x) = √2²-4 b) f(x) = 3x + 21-1

A: To find the critical points of the given functions.

Q: (a): Find the value of k that makes function continuous at x = 4 %3D S 2x + 8 x > 4 x < 4 f(x) = 5x…

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

Q: Find the critical points of the following function. e 3* + e f(x) = - 3x 2

A: The given function is

Q: Find a simple function g(x) such that f(x) is O(g(x)), where f (x) = (-5x20 + 3)(-3x² – 4x²) + 7(4x²…

A: Given, f(x)=-5x20+3-3x7-4x2+74x2-2.3xx6+4 In In x Therefore,   g(x) is also a function…

Q: Find the absolute extreme values of the function on the 11) F(x) = 0.5 s x s 2 x2

A: We first find the critical values by solving F'(x)=0 F(x)=-2x2F(x)=-2x-2F'(x)=-2(-2)x-3F'(x)=4x3For…

Q: Find the Quadratic approximation for the following function at x = 3 f(x) = e1-8x

A: We have to use Taylor series expansion of order 2.