QUESTION 7 Functions f(x) and g(x) are given as follows: f(x) = /x g(x) = x - 2 What is the domain of the function given by (x)? g All nonnegative real numbers except 2 All nonnegative real numbers All positive real numbers except 2 All real numbers except 2 All positive real numbers

Q: Given the function f(x) = 4x + 3 and g(x) = x2 - 5x + 1. Find, a) f-1(7) b) gf(x)

A: The given function is f(x)=4x+3 and g(x)=x2-5x+1 We have to find f-1(7) and gf(x)

Q: Question 14 > 7 Find the domain of the function f(x) 8 O {r | æ > 8} O {r | x < 8} O {x | x + 8}…

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Q: Question 1 Find the local extrema of the function f defined by f(x) =x3- 3x2- 9x, A f(-1)=5 local…

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Q: Question 9 Suppose f(x) and g(x) are functions with f(1) =-3, g(1) =1, f '(1) = -1, and %3D et +15.…

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Q: Question 4 Find the domain of the following functions. a) f(x) = v-x² + 9 +

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Q: Question 4 Let f(x) = |x| + 3, x < 0. a) Draw a graph of f(x). b) Explain why f(x) is one to one. c)…

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Q: Question Three Let f (x) = x2 - 3x + 2, g(x) = V3 – x Find following functions with their domain 1)…

A: Let f(x) = x2-3x+2 , g(x)=3-x1)f+gx=fx+gx2)f.gx=fx.gx3)fgx=f(x)g(x)

Q: Question 2 Consider the following function f (x) = |2 – x| - |x – 4| On which of the intervals is…

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Q: Question 32: Find the formula for the f+g ,fg, f.g, f/g and state the domain of the function f(x) =…

A: Given functions are f(x)=3x-2, g(x)=x For f(x)=3x-2, there is no undefined point, so the domain is…

Q: QUESTION 1 Find the domain of the composite function f g. f(x) 8(x) =x + 6 %3D x + 9' O (x|x -9) {x…

A: we have to find the domain of the composite function fog. the given functions are: f(x)=5x+9…

Q: Question 3 (a) Find and classify all the extreme point(s) of the function f (x, y) = x* + y³ + 32x –…

A: To find and classify all the extreme point(s) of the function f(x,y)=x4+y3+32x-9y

Q: Question 8 Let f(x) = (z - 6)² Find a domain on which f is one-to-one and non-decreasing. Find the…

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Q: Question 2 Select ALL that apply. Which of the following functions are ODD degree functions? f(x) =…

A: A function is of odd degree if the highest exponent of the leading term is odd.   The odd degree…

Q: Question 8 If f(x) = 4x – 6 and g(x) x + 6 4 (a) f(g(x)) = (b) g(f(x)) = (c) Thus g(x) is called an…

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Q: Question 1: For this question, use: f(x) = ax² + bx² + cx + d a) Choose integer values for a, b, c…

A: The end behaviors of a function are the values that the function will attain when the variable of…

Q: Question 19 The graph of f (in blue) is translated a whole number of units horizontally and…

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Q: Question: 1 a) Draw the graph of the function y= in the interval - 5 < x < 3, including x= - 1.5 and…

A: First we find table for values of (x,y) in interval [-5,3]

Q: Question 17 The functions f(x) and g(x) are graphed below. 5- 4 3- 2- -5 -4 -3 -2 A! -5 -4 -3 -2 -2…

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Q: Question 1: Determine whether or not the following expressions are valid, i.e., whether the left-…

A: According to our policy, only question 1 will be solved. For Question 2, please resubmit the…

Q: Question 22 A table of values for f. g. f, and g' is given. f(x) g(x) f'(x) g (x) 3 2 4 1. 7. 3 2 8.…

A: We have to find value of h'(2).

Q: Question 3 Let f(x) = x² – 3, x s 0. a) Draw a graph of f(x). b) Explain why f(x) is one to one. c)…

A: Given: f(x)=x2-3 ; x≤0 we need to find: 1. Inverse 2. Domain of the inverse function

Q: Question 22 For the function f(x), find the simplified form of the difference quotient, f(x + h) –…

A: Consider the following function: fx=x3-3x Consider the following formula of difference quotient:…

Q: / Question 3 Astudent claims that the function f (2) = 6x + 4x2 3 is an even function. Is the…

A: The solution of the problem is given in the next step.

Q: Question 3 For the given functions f and g, find the requested function and state its domain. 5x…

A: The domain of a function f(x) is the set of all possible values of x for which f is defined. (f -…

Q: Question 3 Evaluate the functions at the given values of x. f(x) = -x, g(x) = |x+4, h(x) = x- 3 a)…

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Q: Question 6 The domain of the function f(x)=√-4x+12 consists of one or more of the following…

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Q: QUESTION 3 Determine whether the given function is even, odd, or neither. 2-4 f(x) = x Odd Neither O…

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Q: QUESTION 3 Given the function of f(x) = x + 1. Find the function of g if fg(x) = x2 + 3x + 5.…

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Q: Question 4 If f and g are the functions whose graphs are shown, let h(a) =9(f(x)). Find h'(1). -2…

A: First we find h'(x).

Q: Question 3 siven the function |Screen Shot 2021-10-05 at 11.12.20 AM.png ... (х — 3, (x + 2, if x с…

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Q: Only d and e

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

Q: Question 1. Find the rule of the piecewise function. if a < - 1 f(z) = { if -1<x < 0 if 0<¤ < 2

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Question 37 Which of the following define the function (f –h+ g)(x) given f(x) = x3 – 2x, g(x)= x² +…

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Q: Question 19 The graph of f (in blue) is translated a whole number of units horizontally and…

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Q: Question 14 If f(x)=x+4 and g(x) = -4, (a) f(g(x)) (b) g(f(x)) (c) Thus g(x) is called an function…

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Q: Question 1 The domain of the following function f(x.v) = In(x-v+1) is given by the equation:

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Q: Question 3 Suppose you know the following information about the functions f and g : f(-3) = 6 g(2) =…

A: Differentiate by chain rule

Q: Question 3: Given f : Z → Z, and f is defined as co-domain. Is it one-to-one, Onto function, or…

A: Domain of a function f(x) includes those values of x for which f(x) is defined. Co-domain a function…

Q: QUESTION 2 Determine whether the given function is even, odd, or neither. f(x) = x 3 + x 2 - 1 O…

A: 1.f(x)=f(-x)  means function is even 2.f(x)=-f(-x) means function is odd If the function not follow…

Q: Question 3 Evaluate the functions at the given values of x. 1 f(x) = -x, g(x) =|x + 4, h(x) = x-3 a)…

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Q: Question 8 x + 3 If f(x) = 3x – 3 and g(x) %3| 3 (a) f(g(x)) (b) g(f(x)) (c) Thus, g and f are…

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Q: Question 5 Suppose the function f has a domain set of all real numbers. Given below is the graph of…

A: The given graph of f'(x) is

Q: Question 3 If f (x) = x² +1 and g (x) = 1 what is go f(x) = g(f(x))? %3D 1 x2 +1 O 1 (2² +1) 1-(주)。…

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Q: Question 3 differentiable. Mathematically show why it is not. For each of the following, find all…

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Q: Question 4 f (x) = = +1 is an odd function. O True False

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Q: QUESTION 1 Given the function f(x) = 2x + 1 and g(x) = 3 - kx, find a) f(2) b) f-1(x) c) the…

A: We will find answers to all 3 parts as folllowing.

Q: Question 1: For this question, use: f(x) = ax³ + bx³ + cx +d a) Choose integer values for a, b, c…

A: Solution a: Given f(x)=ax5+bx3+cx+d Let a=1, b=2, c=3, d=4 then function is f(x)=x5+2x3+3x+4

Q: Question 7 Determine if the given function is even, odd, or neither. P(x) = -3x-8x-x+1 %3D O odd…

A: We have to be find

Q: Question 1 Evaluate the function. Let /(x) =x²-9 and 8 (x) =2x+ 6, Find the (f/g(4). (f/g)(4) is…

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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.