For the given functions, find (fo g)(x) and (g o f)(x) and the domain of each.

Q: For the functions f(x)=7x−2 and g(x)=3x2−7x−2, find (f⋅g)(x) and (f⋅g)(3)

A: given, f(x)=7x-2andg(x)=3x2-7x-2 we have to find the value of (f.g)(x) and (f.g)(3)

Q: For the function, evaluate the given expression. g(x, y) = ln(x3 + y6) , find g(0, e)

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Q: Given f(x)=2x+5, find f(1).

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Q: Find f(x+h)-f(x)/h for the given function . f(x)=x2+8x

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Q: Given h(x)=/2x-4, find two functions f and g such that h = f °g.

A: Given that: h(x)=2x-43

Q: For the function f(x) = „"9, find x-9 f (x).

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Q: For the pair of functions f(x) and g(x), find f(g(x)), g(f(x)), and f(f(x)). f(x) = x³ g(x) = 4x - 1…

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Q: For the function f (x) = | 2x + 5 |- 3. Find x- value(s) so that f (x) = 12.

A: Given that, f(x)=2x+5-3   .......  (1) f(x)=12.       .... (2)   We have to find value of 'x' when…

Q: For the function, find the domain. f(x, y) = 7/x-y

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Q: In the given question , find the two x-intercepts of the function f and show that f'(x)=0 at some…

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Q: For the function, find the indicated expressions. f(x) = x6 In(x) (a) Find f'(x). f'(x) = (b) Find…

A: To find the derivative f'(x) of given function and also f'(1)

Q: Given f(x)=e^x+1/3x, find f'(6)

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Q: For the given functions, find (fo g)(x) and (go fXx) and the domain of each. 1-X g(x) f(x) = 13x 1+…

A: Find f∘gx as follows: f∘gx=fgx              =f11+13x              =1-11+13x13×11+13x…

Q: For the pair of functions f(x) and g(x), find f(g(x)), g(f(x)) and f(f(x)). 3 f(x) = x2 - x; g(x) +…

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Q: Given the function h(x) = -2k(x - 1) + 3, and k(x) = x + 15, write the equation for h in terms of x.

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Q: For the given functions, find (fo g)(x) and (go f)(x) and the domain of each. 1(x) = 9(x) = 1-8x

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Q: Given f(x) = x2 + 6x + 9, find the following. f(a)

A: We have given f(x) and we have to calculate f(a) for this replace x by a.

Q: Consider the function f(x) = 3x° + 2x – 1 and the equation f(x) = 0.

A: Given :-  Consider the function f  x = 3x5 + 2x -1 and the equation f  x  =0.

Q: Use the functions f(x) = x + 4 and g(x) = 2x − 5 to find the function. (g ∘ f)−1

A: Given functions are: fx=x+4 and, gx=2x-5 We have to find the function g∘f-1. First of all we need to…

Q: If f(x) = x2 - 2x + 3, find the value(s) of x so that f(x) = 11.

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Q: 1. f(z +h) – f(x), h #0 : f(w) – f(x) r h - 2. ', x # w : -3<x3 w - x

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Q: Find f(-x) - f(x) for the given function f(x) = x2 - 3x + 7 .Then simplify the expression.

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Q: For the function f(x) = vx – 2, find f'(x).

A: Given,           The function is fx=x-2 .

Q: For the given functions, find f • g: f(x) = Vx – 10 and g(x) = 6x + 5

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Q: For the functions f(x)=x2−6x−16 and g(x)=x+2, find (f/g)(x) and (f/g)(−3).

A: Given data:   The first function given is f(x)=x2-6x-16. The second function given is g(x)=x+2.…

Q: ; For the functions f(x) = Vx – 3 and g(x) = vx + 2, find and determine the domain in each case: (a)…

A: Here, (A)

Q: For the function f(x) = x2 + 3? and ℎ ≠ 0, evaluate (f(a + ℎ) − f(a))/h

A: f(x) = x2 + 3

Q: Given that f'(x) = 4x(x² + 8)¬1/3 and f(0) = 0, find the function f(x).

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Q: For the function ​f(x)=x2−9​, find ​(​a) ​ f(x+​h), ​(​b) ​ f(x+​h)−​f(x), and ​(​c) f(x+h)−f(x)…

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Q: For the functions f(x)=−7x+3 and g(x)=3x2−4x−1, find (f⋅g)(x) and (f⋅g)(1).

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Q: For the function f (x)=3x+2, find x such that f(x) =14.

A: Simply put given value of f(x) and solve for "x".

Q: For the function f(x)=|4-3x| find x values so that f(x) =12

A: Explanation of the solution is given below...

Q: If f:x x+ 1 and gf : x H+2x + 7, find the function g.

A: Given in the question -                                        f(x)  =   x+1…

Q: For the functions f(x) = Vx – 3 and g(x) = vx + 2, find and determine the domain in each case: (a)…

A: Note: Since, you haven't mentioned which question you would like to get answered. Here, we are…

Q: For the function: f(x) = 2x + 8, f(æ) – f(a) с — а -

A: Given that f(x) =2x+8 .First we evaluate f(a) then substitute in the given expression.

Q: find f(a+h)-f(a) for the function  f(x)=x^2-15x+10

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Q: For  f(x) = square root 7x  and  g(x) = x2,  find the following. (a)    (f + g)(x) (b)    (f −…

A: Part A- Given : Given functions are fx=7x , gx=x2 Calculation: f+gx=fx+gx⇒(f+g)(x)=7x+x2 Answer:…

Q: For the function f(x) = 4x° – 4x* + 3x° + 6x² +6, find f''(x), the third derivative of f, and f4)…

A: The given function,        fx=4x5-4x4+3x3+6x2+6

Q: For the functions f(x)=4x−3 and g(x)=3x2+4x, find (f∘g)(x) and (g∘f)(x)

A: Given that, f(x) = 4x - 3 g(x) = 3x2 + 4x we have to find fog(x) and gof(x).

Q: For the functions f(x) = 3x – 1 and g(x) = 6x² + x, find (f • g)(x).

A: Given : fx = 3x-1gx = 6x2+x

Q: Given f(x)=e^x+1/3x, find f'(8)

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Q: For the functions f(x)=2x+1 and g(x)=3x2+4, find (f∘g)(−2) and (g∘f)(−2).

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Q: Find f"(x) for the equation f(x)=x6(x2-1)3

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Q: Given the function f(x)=x−−√3, find f′′(x).

A: Given, f(x)=x-3

Q: For the functions, f(x)=x+2, g(x)=2x2-3x-2 find (g o f)(x)

A: f(x)=x+2,g(x)=2x2-3x-2

Q: Solve the equation for y in terms of x, and replace y with function notation f(x). Then find f(2). y…

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Q: Find (fo g)(x) and (g o f)(x) for the pair of functions and give the domains. 17 f(x) =- g(x) = 3 –…

A: Given that value of f(x) and g(x) we find (f0g)(x) and (g0f)(x) . We know that (f0g)(x) = f(g(x)).…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.