For Exercise, evaluate the function for the given values of x. f(x) = -3x g(x) = |x – 2|| h(x) = (g · h)(3)

Q: Using the intermediate value theorem, show that the function f had a zero between a and b…

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Q: Find the domain of the function. G(x) = √(1 - x)

A: To find the domain of the function

Q: 1. If f(x) =+1 and g(x) = 1-V2x. Find f-1? Check your answer ? Draw f and g? Check your answer ?…

A: We have to find inverse function

Q: Given the definitions of f (x) and g(x) below, find the value of f(g(-6)). f (x) = x2 – 2x + 9 g(x)…

A: Given: fx=x2-2x+9, gx=-3x-14 for finding value of fg-6, we first find value of g-6 by putting x=-6…

Q: Using the function, f(x)=3-x, find the following: (a) f(x+h) (b) f(x+h)-f(x) (c) f(x+h)-f(x)/h

A: Find the value of f(x+h).

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: Express the function in the form f ∘ g.

A: Given: Gx=x2x2+4. Let, fx=xx+1 and gx=x2. Then, Gx can be expressed as, f∘g=fgx       =fx2…

Q: Express the relationship f (x) is Ω(g(x)) using a picture. Show the graphs of the functions f (x)…

A: Note:

Q: Given f(x) below, find f'(x). Do not include "f'(x) =" in your answer. f(x) = (3x³ + 3x² - 4).x²

A: Given, f(x)=(3x3+3x2-4)x2

Q: For Exercise, refer to functions f, g, and h. Evaluate the functions for the given values of x. f(x)…

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Q: Given the definitions of f (x) and g(x) below, find the value of (go f)(-3). f (x) : 2x2 + 6x + 9…

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Q: A- Test and proof the function 00 x²e2-x dx 2

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Q: Given the definitions of f (x) and g(æ) below, find the value of g(f(0)). f (x) = x² + 7x - 12 g(x)…

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Q: For Exercise, evaluate the function for the given values of x. f(x) = -3x g(x) = |x – 2| h(x) %3D (f…

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Q: Use the functions f(x) = 1 8 x − 3 and g(x) = x3 to find the given value.

A: f=18x-3, g=x3Assign the function g=x3=x3-1fx-1· 3Assign the function f=18x-3=x3-118x-3-1· 3=16x4-x3

Q: If f(x)= x2 + 14x + 24 and g(x)= x + 2, then what is the value of (f/g)(-2)? Show Work

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Q: Use the function f(x)=3x2-5x, g(x)=6x-4,h(x)=5-x3 to find the following (h-g)(x)

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Q: In the given question , use the functions f (x) = x + 4 and g(x)= 2x - 5 to find the given function?…

A: fx=x+4gx=2x-5

Q: e8(x) and g(x) 43. Find f'(2) if f(x)

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Q: For Exercise, evaluate the function for the given values of x. f(x) = -3x g(x) = |x – 2| h(x) (g •…

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Q: Use the functions f(x) = x − 3 and g(x) = x³ to find the value or function. (g-¹ of ¹)(-3) (g-¹ of…

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Q: Let f(x) = 2? + 3 and g(x) = 3x +5. What is f(g(-1))

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Q: Q4: Evaluate the function at the given values f(x) = v20 – x² when x = - 4

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Q: Let h(x)=f(x)+g(x). If f(x)=2x2 and g(x)=8x5, what is h′(x)? Do not include "h′(x)=" in your answer.…

A: We have been given h(x) = f(x)+g(x) and f(x) = 2x^2 and g(x) = 8x^5So we can first write a function…

Q: dertmine g(1.3) for the following function g(x)=2[x]-6

A: The given function is: g(x)=2x-6where   is the notation of greatest integer function.

Q: What is g(x)

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Q: Let h(x) = f(x) + g(x). If f(x) = 2x² and g(x) = 8x5, what is h'(x)? Do not include "h' (x) =" in…

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Q: Let g(x)=4x csc x . Find the (exact) value of 5л g 6

A: Given Data: Function: gx=4xcsc x   The first derivative of the given function is, g'x=ddx4xcsc…

Q: What is (f + g)(x)? f(x) = -2x g(x) = x² - 7x + 6

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Q: |x-3. Find flexo :)? f(x) = \ / . \

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Q: Use the function f(x) =3x2-5x,g(x)=6x-4,h(x)=5-x3 find the (gof)(x)

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Q: For Exercise, a function is given a. Find f(x + h). b. Find I* + h) – f(x) f(x) = x2 + 4x

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Q: Evaluate the function g(x) = 3x2 - 5x + 2 at the given values of the independent variable and…

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Q: Let G(x) = f(h(x)). What is the value of G' (3)? %3D

A: Given G(x)=f(h(x))

Q: Evaluate f'(a) for the function f(x)= 2x² – 5x+1 What does f'(a) represent?

A: NOTE: Refresh your page if you can't see any equations. . take derivative take x=a

Q: 32. Given the function g(x) = 5 – x², evaluate g(x+h)-g(x) h + 0. - h

A: We use the function value to find the expression

Q: What is (f + g)(x)? f(x) = -2x + 4x g(x) = 5x Write your answer as a polyn function in simplest…

A: (f+g)(x) = f(x) + g(x) Therefore (f+g)(x) = -2x2+4x+5x

Q: 5. Does the function f(x) = e2x - 2x have any points of inflection? Justify your answer.

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Q: For the piecewise function, find the values h( – 3), h( – 2), h(1), and h(2). - 5x - 20, for x< - 3…

A: The given piecewise function is: Since -3 lies in the interval -3≤x&lt;1. So, to find the h-3, take…

Q: Using f(x)= 3x-2x+2, find and simplify the difference quotient S(x+h)- f(x) 2)

A: The difference quotient: The differentia quotient of a function fx is: f(x+h)-f(x)h The given…

Q: suppose f(x)=(x-4)(x+2) (a) for which values of x is the function f(x) positive? Explain using…

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Q: For Exercise, refer to functions f, g, and h. Evaluate the functions for the given values of x. f(x)…

A: Given functions are Firstly, we will find f(g(x)) by replacing x by g(x) in f(x) By substituting…

Q: For Exercise, evaluate the function for the given values of x. -2|x| – 3 for x <-2 g(x) = { 5x + 6…

A: a) -3 is less than -2 so we need the first equation

Q: Given the definitions of f (x) and g(x) below, find the value of f(g(-1)). . f(x) = -5x + 14 g(x) =…

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Q: Use the functions f(x) =x - 3 and g(x) = x to find the value or function. (g-1 of-1)(-3) (g-1…

A: The given functions are: f(x)=x8-3     and    g(x)=x3

Q: Dertmine g(3.6) for the following function g(x) =2[x+3]-1

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Q: Find the value for the function. 3) Find f(4) when f(x) = Vx2 +.

A: The given function is, fx=x2+3x. The objective is find the value of the function at x=4.